Practice the AP 8th Class Maths Bits with Answers Chapter 4 Exponents and Powers on a regular basis so that you can attempt exams with utmost confidence.

AP State Syllabus 8th Class Maths Bits 4th Lesson Exponents and Powers with Answers

Choose the correct answer.

Question 1.
am × bm =
A) (\(\frac{a}{b}\))m
B) (ab)m
C) (\(\frac{b}{a}\))m
D) (ab)2m
Answer:
B) (ab)m

Question 2.
(- 5)-3 × (- 5)-4 =
A) (-5)-7
B) (-5)7
C) \(\frac{1}{(5)^{7}}\)
D) \(\frac{1}{(-5)^{-7}}\)
Answer:
A) (-5)-7

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 3.
If 27x – 7 = 1 then x =
A) 1
B) 2
C) 0
D) 3
Answer:
A) 1

Question 4.
The value of (\(\frac{2}{5}\))-3 × (\(\frac{25}{4}\))-2  =
A) \(\frac{-5}{2}\)
B) \(\frac{-2}{5}\)
C) \(\frac{5}{2}\)
D) \(\frac{2}{5}\)
Answer:
D) \(\frac{2}{5}\)

Question 5.
Which of the following is not true ?
A) (x-3)2 = x-6
B) x-2 = √x
C) \(\frac{x^{-3}}{x^{-2}}=\frac{1}{x}\)
D) x-3 × x-5 = x-8
Answer:
B) x-2 = √x

Question 6.
The standard form of 43800000
A) 438 × 108
B) \(\frac{438}{10^{5}}\)
C) 438 × 105
D) 43.8 × 10-8
Answer:
C) 438 × 105

Question 7.
The general form of 4.67 × 104 is
A) 47670
B) 4767000
C) 476700
D) 46700
Answer:
D) 46700

Question 8.
The standard form of 0.000437 × 104 is ……………………
A) 437 × 105
B) 4.37 × 10
C) 473 × 10-2
D) 437 × 10-2
Answer:
D) 437 × 10-2

Question 9.
\(\frac{\mathbf{a}^{m}}{\mathbf{a}^{m}}\) = ………………..
A) m
B) -1
C) 1
D) a
Answer:
C) 1

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 10.
(\(\frac{\mathbf{a}}{\mathbf{b}}\))m = ………………….
A) \(\frac{a^{m}}{b^{m}}\)
B) \(\frac{a^{m}}{b}\)
C) \(\frac{a}{b^{m}}\)
D) abm
Answer:
A) \(\frac{a^{m}}{b^{m}}\)

Question 11.
a-n = ………………
A) -an
B) \(\frac{1}{a^{n}}\)
C) -a
D) -na
Answer:
B) \(\frac{1}{a^{n}}\)

Question 12.
am × a-m = ……………..
A) m
B) 3
C) -1
D) 1
Answer:
D) 1

Question 13.
(2° – 3°) × 4° = ……………….
A) 1
B) 0
C) – 1
D) 1
Answer:
B) 0

Question 14.
The general form of 1.275 × 103 ……………………..
A) 1275 × 10100
B) 1257 × 105
C) 1275 × 10
D) 1275
Answer:
D) 1275

Question 15.
8x + 1 = 1 then x = ………………….
A) 1
B) – 1
C) – 2
D) 3
Answer:
B) – 1

Question 16.
100° = ……………..
A) 3
B) -1
C) 100
D) 1
Answer:
D) 1

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 17.
2-4 = \(\frac{1}{2^{n}}\) then n = ……………..
A) 3
B) -3
C) 4
D) – 4
Answer:
C) 4

Question 18.
\(\frac{\mathbf{a}^{\mathbf{m}}}{\mathbf{a}^{\mathbf{n}}}\) (m < n) = ………………
A) \(\frac{1}{a^{n-m}}\)
B) an – m
C) am
D) \(\frac{1}{a^{m-n}}\)
Answer:
A) \(\frac{1}{a^{n-m}}\)

Question 19.
a × a × a × ………………… 2016 times ………………
A) 2016 a
B) a2016
C) 2016a
D) 2106a × a
Answer:
B) a2016

Question 20.
2-1 + 1-1 = ……………..
A) \(\frac {1}{2}\)
B) 1
C) \(\frac{3}{4}\)
D) \(\frac{3}{2}\)
Answer:
D) \(\frac{3}{2}\)

Question 21.
(100° + 2-1 + 1-2) ÷ 2-1 = ………………..
A) 4
B) 3
C) -5
D) 5
Answer:
D) 5

Question 22.
35 ÷ 3-6 = ………………….
A) 311
B) 37
C) 38
D) 310
Answer:
A) 311

Question 23.
\(\left[\left(\frac{2}{5}\right)^{-1}\right]^{-1}\) = ……………….
A) \(\frac{5}{2}\)
B) \(\frac{1}{5}\)
C) \(\frac{2}{5}\)
D) \(\frac{5}{1}\)
Answer:
C) \(\frac{2}{5}\)

Question 24.
(-2)2 = ……………….
A) 4
B) -4
C) 3
D) 2
Answer:
A) 4

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 25.
a + a + a + …………. n times = ……………..
A) na
B) an
C) \(\frac{\text { na }}{2}\)
D) a
Answer:
A) na

Question 26.
Reciprocal of (\(\frac{-5}{9}\))99 is ……………..
A) \(\frac{5}{9}\)
B) \(\frac{9}{5}\)
C) 999
D) None
Answer:
D) None

Question 27.
Which of the following is correct ?
A) am × a-n = am – n
B) am bm = a(b)m
C) a0 = 1, a = 0 …………….
D) (ab)-1 = a-1
Answer:
A) am × a-n = am – n

Question 28.
(xy)-2.(xy)2 = ……………….
A) x
B) y2
C) xy
D) 1
Answer:
D) 1

Question 29.
Cube of \(\frac {-1}{2}\) = ……………..
A) \(\frac {1}{8}\)
B) \(\frac {-1}{8}\)
C) 8
D) -2
Answer:
B) \(\frac {-1}{8}\)

Question 30.
(2-2)-3 = …………………
A) 31
B) 60
C) 32
D) 64
Answer:
D) 64

Question 31.
a3 × a-10 = …………….. ,
A) a10
B) a6
C) a7
D) a-7
Answer:
D) a-7

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 32.
7x + 3 = 5x + 3 then x = ……………….
A) – 1
B) – 3
C) – 4
D) 5
Answer:
B) – 3

Question 33.
(\(\frac {4}{3}\))-2 = ………………
A) \(\frac{9}{16}\)
B) \(\frac{14}{3}\)
C) \(\frac{16}{9}\)
D) \(\frac{9}{17}\)
Answer:
A) \(\frac{9}{16}\)

Question 34.
(-9)3 ÷ 93 = ……………..
A) – 1
B) 1
C) 3
D) 2
Answer:
A) – 1

Question 35.
x7 ÷ x12 = ……………….
A) x5
B) x-5
C) x6
D) x7
Answer:
B) x-5

Question 36.
(\(\frac{1}{2016}\))0 = ………………..
A) 0
B) – 1
C) 6
D) 1
Answer:
D) 1

Question 37.
The general form of 2.03 × 105 is ………………..
A) 0.00234
B) 0.00423
C) 0.00230
D) 0.0000203
Answer:
D) 0.0000203

Question 38.
The standard form of 23,40,00,000 is ……………………
A) 2.34 × 108
B) 3.24 × 106
C) 3.34 × 106
D) 8.15 × 109
Answer:
A) 2.34 × 108

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 39.
(7-1 – 18-1)0 = …………………
A) – 1
B) 0
C) 1
D) 7
Answer:
C) 1

Question 40.
If we divide 85 by ………………. we get 8
A) 810
B) 86
C) 85
D) 84
Answer:
D) 84

Question 41.
10-3 = ………………..
A) \(\frac{1}{200}\)
B) \(\frac{1}{100}\)
C) \(\frac{1}{10}\)
D) \(\frac{1}{1000}\)
Answer:
D) \(\frac{1}{1000}\)

Question 42.
(\(\frac {1}{2}\))-2 ÷ (\(\frac {1}{2}\))-2
A) (\(\frac {1}{2}\))3
B) -1
C) 1
D) – 2
Answer:
C) 1

Question 43.
(25 ÷ 26) × 2 = ………………….
A) 1
B) – 2
C) 3
D) – 1
Answer:
A) 1

Question 44.
53x – 1 ÷ 25 = 125 then x = ………………
A) – 2
B) 2
C) 4
D) 3
Answer:
B) 2

Question 45.
\(\frac{6^{-2}}{6^{n}}\) = 6-3 then n = ………………
A) 2
B) 1
C) -1
D) 3
Answer:
B) 1

Question 46.
\(\frac{\mathbf{5}^{\mathrm{m}} \times \mathbf{5}^{3} \times \mathbf{5}^{-\mathbf{2}}}{\mathbf{5}^{-\mathbf{5}}}\) = 512 then m = …………………
A) 1
B) 4
C) 3
D) None
Answer:
D) None

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 47.
210 = …………………
A) 1042
B) 512
C) 1024
D) 1204
Answer:
C) 1024

Question 48.
Which of the following is correct ?
A) \(\frac {1}{4}\)(2n) = 2n – 2
B) 4n – 1 = 4n
C) 4m × 4-m = 4-2m
D) 25 (5n) = 5n – 1
Answer:
A) \(\frac {1}{4}\)(2n) = 2n – 2

Question 49.
3x -1 = ………………
A) \(\frac{3}{x}\)
B) \(\frac{1}{3 x}\)
C) \(\frac{3^{-1}}{\mathrm{x}^{2}}\)
D) \(\frac{x}{3}\)
Answer:
A) \(\frac{3}{x}\)

Question 50.
The standard form of 24.36 × 10-3 is ……………..
A) 0.4236
B) 0.243
C) 24.36
D) 0.02436
Answer:
D) 0.02436

Question 51.
(4° + 5-1) × 52 × \(\frac{1}{3}\) = ………………
A) -10
B) 10
C) \(\frac{1}{10}\)
D) – 3
Answer:
B) 10

Question 52.
1 + 2-1 + 3-1 + 40 = …………………..
A) \(\frac{1}{6}\)
B) \(\frac{6}{7}\)
C) \(\frac{7}{6}\)
D) \(\frac{17}{6}\)
Answer:
D) \(\frac{17}{6}\)

Question 53.
30 – 3-1 = ………………..
A) \(\frac{2}{3}\)
B) \(\frac{3}{2}\)
C) \(\frac{1}{2}\)
D) 1
Answer:
A) \(\frac{2}{3}\)

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 54.
m = 3, n = 1 then mn – nm = ………………..
A) 4
B) 1
C) – 2
D) 2
Answer:
D) 2

Question 55.
72n + 1 ÷ 49 – 73 then n = ………………
A) – 2
B) 2
C) 3
D) -3
Answer:
B) 2

Question 56.
(5 × 102) + (4 × 10) + (3 × 100) + (6 × 10-1) + (7 × 10-2)
A) 345.6
B) 453.67
C) 841.7
D) 543.67
Answer:
D) 543.67

Question 57.
34 x 43 = …………………….
A) 1584
B) 5184
C) 8122
D) 1811
Answer:
B) 5184

Question 58.
\(\sqrt[5]{\mathbf{3 2}}\) = …………………
A) 23
B) 18
C) 12
D) 2
Answer:
D) 2

Question 59.
\(\frac{2401}{625}\) = ………………..
A) (\(\frac{5}{7}\))4
B) (\(\frac{7}{5}\))4
C) (\(\frac{5}{3}\))4
D) (\(\frac{7}{4}\))4
Answer:
B) (\(\frac{7}{5}\))4

Question 60.
\(\left(\left(\frac{1}{4}\right)^{2}\right)^{3}\) = ………………….
A) \(\frac{1}{3092}\)
B) \(\frac{1}{6096}\)
C) \(\frac{1}{3096}\)
D) \(\frac{1}{4096}\)
Answer:
D) \(\frac{1}{4096}\)

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 61.
(\(\frac{4}{5}\))3 × (\(\frac{4}{5}\))-6 = (\(\frac{4}{5}\))2x – 1 x = ………………
A) – 1
B) 2
C) 1
D) 4
Answer:
A) – 1

Question 62.
The standard form of \(\frac{622}{100,00,00,000}\) is …………………
A) 622 × 107
B) 6.22 × 10-7
C) 266 × 10-7
D) 6.22 × 10-6
Answer:
B) 6.22 × 10-7

Question 63.
3° + 4° + 5° – 3° = ………………..
A) 4
B) 3
C) 1
D) 2
Answer:
D) 2

Question 64.
-4-1 + 8-1 ÷ (\(\frac {2}{3}\))-1 = …………………
A) – 1
B) \(\frac {-1}{6}\)
C) 6
D) \(\frac {1}{2}\)
Answer:
B) \(\frac {-1}{6}\)

Question 65.
(\(\frac {-1}{5}\))-1 = …………………
A) 3
B) – 1
C) 5
D) – 5
Answer:
D) – 5

Question 66.
(\(\frac {2}{3}\))-3 = ……………….
A) \(\frac{27}{8}\)
B) \(\frac{7}{8}\)
C) \(\frac{1}{7}\)
D) \(\frac{1}{6}\)
Answer:
A) \(\frac{27}{8}\)

Question 67.
64-0.5 = ………………
A) -4
B) – 8
C) 8
D) \(\frac {1}{8}\)
Answer:
D) \(\frac {1}{8}\)

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 68.
1 + (9 – 10)-5 = ………………………
A) 0
B) -1
C) 3
D) 2
Answer:
A) 0

Question 69.
x = 3 400, y = 4 300 then ………………
A) x < y
B) x – y
C) x2 = y
D) x > y
Answer:
D) x > y

Question 70.
642/3 = ……………….
A) 12
B) 16
C) 10
D) -4
Answer:
B) 16

Question 71.
\(\sqrt[4]{81}\) = …………………
A) 3
B) 4
C) 5
D) \(\frac{1}{3}\)
Answer:
A) 3

Question 72.
[(32)3]4 = ……………….
A) 312
B) 318
C) 320
D) 324
Answer:
D) 324

Question 73.
24 × (32)-1 = ……………….
A) \(\frac {-1}{2}\)
B) \(\frac {1}{2}\)
C) – 2
D) \(\frac {1}{7}\)
Answer:
B) \(\frac {1}{2}\)

Question 74.
Base in 2x-3 is ……………………
A) 2
B) x
C) -3
D) 2x
Answer:
B) x

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 75.
(125)-2/3 = ……………..
A) 25
B) \(\frac{1}{-10}\)
C) \(\frac{1}{25}\)
D) \(\frac{1}{2}\)
Answer:
C) \(\frac{1}{25}\)

Question 76.
\(\left(\frac{25}{49}\right)^{\frac{1}{2}}\) = …………………..
A) \(\frac{5}{7}\)
B) \(\frac{1}{7}\)
C) \(\frac{1}{3}\)
D) -3
Answer:
A) \(\frac{5}{7}\)

Question 77.
\(\frac{2^{a+3} \times 3^{2 a+b} \times 6^{b+1}}{3^{a+b} \times 6^{a+b}}\) = …………………….
A) 28
B) 38
C) 48
D) \(\frac{41}{8 b}\)
Answer:
C) 48

Question 78.
(a-1 + b-1) ab = …………………
A) ab
B) a-b
C) \(\frac{1}{a+b}\)
D) a + b
Answer:
D) a + b

Question 79.
(a°)° = ………………..
A) a
B) 1
C) – 1
D) None
Answer:
B) 1

Question 80.
AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers 1 = …………………
A) 0
B) 1
C) – 1
D) – 3
Answer:
B) 1

Question 81.
AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers 2 = ………………..
A) y
B) \(\frac{1}{y}\)
C) -y
D) 1
Answer:
A) y

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 82.
9x + 9x – 1 = 90 then x = ………………..
A) 2
B) -2
C) 3
D) 4
Answer:
A) 2

Question 83.
10-3x = 8 then 10x = …………………..
A) \(\frac {1}{4}\)
B) – 2
C) 2
D) \(\frac {1}{2}\)
Answer:
D) \(\frac {1}{2}\)

Question 84.
x = √2 then (xx)x = ………………….
A) \(\frac{1}{\sqrt{2}}\)
B) \(\frac{1}{4 \sqrt{2}}\)
C) \(\frac{1}{3 \sqrt{2}}\)
D) \(\frac{1}{5 \sqrt{2}}\)
Answer:
B) \(\frac{1}{4 \sqrt{2}}\)

Question 85.
\(\frac{2^{n+2}-2^{n+1}}{4 \times 2^{n-1}}\) = ………………..
A) 3
B) – 1
C) 7
D) 1
Answer:
D) 1

Question 86.
57 – x = 5° then x = ……………….
A) 13
B) 7
C) 3
D) 4
Answer:
B) 7

Question 87.
If 9x – 9x – 1 = 72 then the value of 3x = ………………
A) 6
B) – 3
C) – 6
D) 4
Answer:
A) 6

Question 88.
\(\frac {1}{81}\) th value of 729 is …………………
A) 92
B) – 9
C) 10
D) 9
Answer:
D) 9

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 89.
If we multiply 3-4 with ……………. product as 729.
A) 310
B) 37
C) 39
D) 36
Answer:
A) 310

Question 90.
2n = 2 then 2n+3 = ………………..
A) 23
B) 19
C) 10
D) 16
Answer:
D) 16

Question 91.
161.25 = ……………….
A) 30
B) 19
C) 32
D) 16
Answer:
C) 32

Question 92.
ax(y-z) × ay(z-x) × az(x-y) = …………………
A) 3
B) 1
C) – 1
D) 0
Answer:
B) 1

Question 93.
a = 1, b = 2 then ab + ba =
A) 4
B) 3
C) 2
D) 13
Answer:
B) 3

Question 94.
2 x+3 = 4 x+1 then x = ………………
A) 4
B) 3
C) 2
D) 1
Answer:
D) 1

Question 95.
(\(\frac{-2}{3}\))-4 × (\(\frac{-3}{5}\))2 =
A) \(\frac{250}{9}\)
B) \(\frac{9}{250}\)
C) \(\frac{350}{9}\)
D) \(\frac{1}{90}\)
Answer:
A) \(\frac{250}{9}\)

Question 96.
(\(\frac {1}{2}\))-2 + (\(\frac {1}{3}\))-2 + (\(\frac {1}{4}\))-2 = ………………..
A) 16
B) 19
C) 29
D) 32
Answer:
C) 29

AP 8th Class Maths Bits Chapter 4 Exponents and Powers with Answers

Question 97.
(6-1 – 8-1)-1 + (2-1 – 3-1)-1 = …………………
A) 60
B) 15
C) 20
D) 6
Answer:
B) 15

Question 98.
\(\frac{-1}{6} \times \frac{-1}{6} \times \frac{-1}{6}\) = ………………
A) \(\frac{-1}{206}\)
B) \(\frac{-1}{16}\)
C) \(\frac{1}{21}\)
D) \(\frac{-1}{216}\)
Answer:
D) \(\frac{-1}{216}\)

Question 99.
\(\sqrt[4]{81}-8 \times \sqrt[3]{216}+15 \sqrt[5]{32}+\sqrt{225}\) = ……………………
A) 3
B) 2
C) 0
D) 1
Answer:
C) 0

Question 100.
(1254)1/2 = ……………….
A) 114
B) 132
C) 112
D) 122
Answer:
C) 112