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

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

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

Question 3.
If 27x – 7 = 1 then x =
A) 1
B) 2
C) 0
D) 3
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) $$\frac{2}{5}$$
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
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
C) 438 × 105

Question 7.
The general form of 4.67 × 104 is
A) 47670
B) 4767000
C) 476700
D) 46700
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
D) 437 × 10-2

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

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
A) $$\frac{a^{m}}{b^{m}}$$

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

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

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

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

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

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

Question 17.
2-4 = $$\frac{1}{2^{n}}$$ then n = ……………..
A) 3
B) -3
C) 4
D) – 4
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) $$\frac{1}{a^{m-n}}$$
A) $$\frac{1}{a^{n-m}}$$

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

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

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

Question 22.
35 ÷ 3-6 = ………………….
A) 311
B) 37
C) 38
D) 310
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) $$\frac{5}{1}$$
C) $$\frac{2}{5}$$

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

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

Question 26.
Reciprocal of ($$\frac{-5}{9}$$)99 is ……………..
A) $$\frac{5}{9}$$
B) $$\frac{9}{5}$$
C) 999
D) None
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
A) am × a-n = am – n

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

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

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

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

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

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

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

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

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

Question 37.
The general form of 2.03 × 105 is ………………..
A) 0.00234
B) 0.00423
C) 0.00230
D) 0.0000203
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
A) 2.34 × 108

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

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

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

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

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

Question 45.
$$\frac{6^{-2}}{6^{n}}$$ = 6-3 then n = ………………
A) 2
B) 1
C) -1
D) 3
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
D) None

Question 47.
210 = …………………
A) 1042
B) 512
C) 1024
D) 1204
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
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) $$\frac{x}{3}$$
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
D) 0.02436

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

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

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

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

Question 55.
72n + 1 ÷ 49 – 73 then n = ………………
A) – 2
B) 2
C) 3
D) -3
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
D) 543.67

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

Question 58.
$$\sqrt[5]{\mathbf{3 2}}$$ = …………………
A) 23
B) 18
C) 12
D) 2
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
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) $$\frac{1}{4096}$$
D) $$\frac{1}{4096}$$

Question 61.
($$\frac{4}{5}$$)3 × ($$\frac{4}{5}$$)-6 = ($$\frac{4}{5}$$)2x – 1 x = ………………
A) – 1
B) 2
C) 1
D) 4
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
B) 6.22 × 10-7

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

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

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

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

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

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

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

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

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

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

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

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

Question 75.
(125)-2/3 = ……………..
A) 25
B) $$\frac{1}{-10}$$
C) $$\frac{1}{25}$$
D) $$\frac{1}{2}$$
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
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) $$\frac{41}{8 b}$$
C) 48

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

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

Question 80.
= …………………
A) 0
B) 1
C) – 1
D) – 3
B) 1

Question 81.
= ………………..
A) y
B) $$\frac{1}{y}$$
C) -y
D) 1
A) y

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

Question 83.
10-3x = 8 then 10x = …………………..
A) $$\frac {1}{4}$$
B) – 2
C) 2
D) $$\frac {1}{2}$$
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) $$\frac{1}{5 \sqrt{2}}$$
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
D) 1

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

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

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

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

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

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

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

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

Question 94.
2 x+3 = 4 x+1 then x = ………………
A) 4
B) 3
C) 2
D) 1
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) $$\frac{1}{90}$$
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
C) 29

Question 97.
(6-1 – 8-1)-1 + (2-1 – 3-1)-1 = …………………
A) 60
B) 15
C) 20
D) 6
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) $$\frac{-1}{216}$$
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
C) 0

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