Practice the AP 7th Class Maths Bits with Answers 8th Lesson Exponents and Powers on a regular basis so that you can attempt exams with utmost confidence.

## AP Board 7th Class Maths Bits 8th Lesson Exponents and Powers

Multiple Choice Questions:

Question 1.
In an,n is called _________
(A) exponent
(B) power
(C) base
(D) Both A & B
Answer:
(D) Both A & B

Question 2.
Exponential form of 10000 is______
(A) 103
(B) 310
(C) 410
(D) 104
Answer:
(D) 104

Question 3.
a × a × a × a × ……………….. (m times) = ______
(A) a4
(B) m . a
(C) am
(D) ma
Answer:
(C) am

Question 4.
Which is greater 52 (or) 25?
(A) 52
(B) 25
(C) A & B
(D) None
Answer:
(B) 25

Question 5.
am × an = _______
(A) am+n
(B) am-n
(C) am ÷ an
(D) $$\frac{a^{m}}{a^{n}}$$
Answer:
(A) am+n

Question 6.
(am)n = ________
(A) am.n
(B) am+n
(C) am-n
(D) $$\frac{a^{m}}{a^{n}}$$
Answer:
(A) am.n

Question 7.
23 × 53 = _______
(A) 26
(B) 103
(C) 106
(D) 56
Answer:
(B) 103

Question 8.
$$\frac{a^{m}}{a^{n}}$$ _____ (if m>n).
(A) $$\frac{1}{a^{n-m}}$$
(B) am+n
(C) am-n
(D) am.n
Answer:
(C) am-n

Question 9.
$$\frac{5^{8}}{5^{3}}$$ = ________
(A) 55
(B) $$\frac{1}{5^{5}}$$
(C) 511
(D) 524
Answer:
(A) 55

Question 10.
a°= _______
(A) $$\frac{1}{a}$$
(B) 0
(C) a
(D) 1
Answer:
(D) 1

Question 11.
$$\frac{\mathbf{a}^{\mathbf{m}}}{\mathbf{b}^{\mathbf{m}}}$$ = ______
(A) (ab)m
(B) am . bm
(C) $$\left(\frac{a}{b}\right)^{m}$$
(D) $$\left(\frac{b}{a}\right)^{m}$$
Answer:
(C) $$\left(\frac{a}{b}\right)^{m}$$

Question 12.
If m is even(-1)m = _______
(A) 1
(B) -1
(C) m
(D) -m
Answer:
(A) 1

Question 13.
$$\left(\frac{8}{5}\right)^{4}$$ = _______
(A) (8 × 5)4
(B) $$\frac{8^{4}}{5^{4}}$$
(C) 84 × 54
(D) $$\frac{5^{4}}{8^{4}}$$
Answer:
(B) $$\frac{8^{4}}{5^{4}}$$

Question 14.
Standard form of 8246 mIs ________
(A) 8.246
(B) 8.246 × 102
(C) 8.246 × 10
(D) 8.246 × 103
Answer:
(D) 8.246 × 103

Question 15.
Standard form of the distance from the Sun to Earth 149,600,000,000 m is ________
(A) 1.496 × 1011
(B) 1.496 × 108
(C) 1.496 × 1010
(D) 1.496 × 1012
Answer:
(A) 1.496 × 1011

Question 16.
(5° – 3°) × 2° = _______
(A) 4°
(B) 2
(C) 0
(D) 1
Answer:
(C) 0

Question 17.
If 3x = 4, then 3x+2 = ________
(A) 8
(B) 6
(C) 108
(D) 36
Answer:
(D) 36

Question 18.
ax+y-z × ay+z-x × az+x-y = ________
(A) 0
(B) 1
(C) ax+y+z
(D) a3x+3y+3z
Answer:
(B) 1

Question 19.
(xa+b)a-b × (xb+c)b-c × (xc+a)c-a = ________
(A) x2a+2b+2c
(B) x2a2+2b2+c2
(C) 1
(D) 0
Answer:
(C) 1

Question 20.
a3 × a-2× a-5 = _______
(A) a10
(B) $$\frac{1}{a^{4}}$$
(C) a4
(D) a-7
Answer:
(B) $$\frac{1}{a^{4}}$$

Question 21.
If 3x = 81, then 3x+1= ________
(A) 82
(B) 27
(C) 243
(D) 81
Answer:
(C) 243

Question 22.
xm2-n2 × xn2-m2 = ________
(A) 1
(B) 0
(C) x2m2-2n2
(D) xm2-n2
Answer:
(C) x2m2-2n2

Question 23.
(4° – 2°) × 3° = ________
(A) 6
(B) 18
(C) 0
(D) 1
Answer:
(C) 0

Question 24.
(-5) × (- 5) × (- 5) × ………… × (- 5) (16 times) = _________
(A) (- 5)16
(B) 16-5
(C) 16 -5
(D) 16 × (- 5)
Answer:
(A) (- 5)16

Question 25.
(- 1)101 + (- 1)100 = ________
(A) – 1
(B) 0
(C) 2
(D) 1
Answer:
(B) 0

Question 26.
Which of the following is true?
(A) 43 > 82
(B) 23 > 32
(C) (15)° = (10000)°
(D) (-2)5 = 32
Answer:
(C) (15)° = (10000)°

Question 27.
If a = 25, then a1 + a° = _______
(A) 25
(B) 26
(C) 24
(D) 0
Answer:
(B) 26

Question 28.
Difference between 2-3 and 2-4 is ________
(A) 8
(B) $$\frac{1}{16}$$
(C) 2-7
(D) 2-3-4(-4)
Answer:
(B) $$\frac{1}{16}$$

Question 29.
Mass of the Earth is about 5976 × 1021 kg. Standard form is _______
(A) 5.976 × 1024 kg
(B) 0.5976 × 1025 kg
(C) 59.76 × 1023 kg
(D) 597.6 × 1022 kg
Answer:
(A) 5.976 × 1024 kg

Question 30.
The standard form of the distance between the earth and the moon is approximately 12,000,000,000 years ________
(A) 12 × 1011 years
(B) 1.2 × 1010 years
(C) 0.12 × 109 years
(D) 120 × 1010 years
Answer:
(B) 1.2 × 1010 years

Reasoning Questions :

Find the odd one from the given.

Question 1.
(A) 4
(B) 24
(C) 32
(D) 17
Answer:
(D) 17

Question 2.
(A) 17
(B) 19
(C) 23
(D) 25
Answer:
(D) 25

Question 3.
(A) 625
(B) 750
(C) 840
(D) 601
Answer:
(D) 601

Question 4.
(A) 121
(B) 143
(C) 165
(D) 174
Answer:
(D) 174

Question 5.
(A) 125
(B) 8
(C) 81
(D) 64
Answer:
(C) 81

Question 6.
(A) 81
(B) 64
(C) 49
(D) 56
Answer:
(D) 56

Question 7.
(A) 73
(B) 85
(C) 69
(D) 36
Answer:
(D) 36

Question 8.
(A) 24
(B) 72
(C) 85
(D) 18
Answer:
(C) 85

Question 9.
(A) 324
(B) 368
(C) 361
(D) 441
Answer:
(B) 368

Question 10.
(A) 64
(B) 75
(C) 91
(D) 81
Answer:
(A) 64

Fill in the blanks:

Question 1.
In an, a is called ________
Answer:
base

Question 2.
104 can be read as ________
Answer:
10 raised to the power of 4

Question 3.
In 105 exponent is ____________
Answer:
5

Question 4.
Exponential form of 10,00,00,000 is _________
Answer:
108

Question 5.
54 × 56 = ___________ .
Answer:
510

Question 6.
(94)3 = ______________ .
Answer:
912

Question 7.
am × bm ___________
Answer:
(ab)m

Question 8.
$$\frac{a^{m}}{a^{n}}$$ = ___________ If(m < n)
Answer:
$$\frac{1}{a^{n-m}}$$

Question 9.
$$\frac{(-6)^{7}}{(-6)^{4}}$$ = ________
Answer:
(-6)3

Question 10.
(100)° = ________
Answer:
1

Question 11.
$$\left(\frac{\mathrm{a}}{\mathrm{b}}\right)^{\mathrm{m}}$$ = _______
Answer:
$$\frac{a^{m}}{b^{m}}$$

Question 12.
If m is odd, then (- 1)m = ________
Answer:
-1

Question 13.
$$\frac{3^{5}}{4^{5}}$$ = ________
Answer:
$$\left(\frac{3}{4}\right)^{5}$$

Question 14.
Standard form of the height Mount Everest 8848 m is ________
Answer:
8.848 × 103 m

Question 15.
If m – n, am-n = ________
Answer:
1

Question 16.
223 = ________
Answer:
256

Question 17.
If 3x = 27, then 3x-3 = ________
Answer:
1

Question 18.
ax-y × ay-z × az-x = ________
Answer:
1

Question 19.
If 2x+1 = 42, then 2x-1 = ________
Answer:
4

Question 20.
$$\frac{1}{4^{-1}}+\frac{1}{5^{-1}}$$ = ________
Answer:
9

Question 21.
If 5x = 25, then 5x-3 = _________
Answer:
$$\frac{1}{5}$$

Question 22.
(- 1)101 = _________
Answer:
-1

Question 23.
$$\frac{10^{0}+100^{\circ}}{1000^{\circ}}$$ = _________
Answer:
2

Question 24.
$$\left(\frac{-3}{7}\right)^{7} \times\left(\frac{-3}{7}\right)^{6} \times\left(\frac{-3}{7}\right)^{-14}$$ = _________
Answer:
$$\frac{-7}{3}$$

Question 25.
125 when expressed in exponential form = _________
Answer:
53

Question 26.
$$\frac{x^{a}}{x^{b}} \times \frac{\dot{x}^{b}}{x^{\dot{c}}} \times \frac{x^{c}}{x^{a}}$$ = _________
Answer:
1

Question 27.
The standard form of 1,353,000,000 cubic kms is ________.
Answer:
1.353 × 109 C.C. kms

Question 28.
Find x2a+3a-5a = _________
Answer:
1

Question 29.
The distance between the earth and the moon is approximately 384,000,000 m. Then its standard form is _________
Answer:
3.84 × 108 m

Question 30.
If 4x = 82, then x = ________
Answer:
3

Match the following :

Question 1.

 Group A Group B 1. a × a × a × …. × a (10 times) = (A) am× bm 2. am× an= (B) $$\frac{\mathrm{a}^{\mathrm{m}}}{\mathrm{b}^{\mathrm{m}}}$$ 3. (am) n= (C) a10 4. (a × b) m= (D) amn 5. $$\left(\frac{a}{b}\right)^{m}$$ E) am+n

Answer:

 Group A Group B 1. a × a × a × …. × a (10 times) = (C) a10 2. am× an= E) am+n 3. (am) n= (D) amn 4. (a × b) m= (A) am× bm 5. $$\left(\frac{a}{b}\right)^{m}$$ (B) $$\frac{\mathrm{a}^{\mathrm{m}}}{\mathrm{b}^{\mathrm{m}}}$$

Question 2.

 Group A Group B 1. $$\frac{a^{m}}{a^{n}}$$(m > n) = (A) $$\frac{1}{a^{m-n}}$$ 2. $$\frac{a^{m}}{a^{n}}$$(m < n) = (B) a-m 3. $$\frac{a^{m}}{a^{n}}$$(m = n) = (C) amn 4. a0 = (D) 1 5. $$\frac{1}{a^{m}}$$ (E) $$\frac{1}{a^{n-m}}$$

Answer:

 Group A Group B 1. $$\frac{a^{m}}{a^{n}}$$(m > n) = (C) amn 2. $$\frac{a^{m}}{a^{n}}$$(m < n) = (E) $$\frac{1}{a^{n-m}}$$ 3. $$\frac{a^{m}}{a^{n}}$$(m = n) = (A) $$\frac{1}{a^{m-n}}$$ 4. a0 = (D) 1 5. $$\frac{1}{a^{m}}$$ (B) a-m

Question 3.

 Group A Group B 1. (-1)205 = (A) 1 2. (-1)1000 = (B) -1 3. a-m = (C) $$\frac{1}{a^{\mathrm{m}}}$$ 4. $$\left(\frac{a}{b}\right)^{-m}$$ (D) 103 5. $$\frac{10^{52}}{10^{49}}$$ (E) $$\left(\frac{b}{a}\right)^{m}$$

Answer:

 Group A Group B 1. (-1)205 = (B) -1 2. (-1)1000 = (A) 1 3. a-m = (C) $$\frac{1}{a^{\mathrm{m}}}$$ 4. $$\left(\frac{a}{b}\right)^{-m}$$ (E) $$\left(\frac{b}{a}\right)^{m}$$ 5. $$\frac{10^{52}}{10^{49}}$$ (D) 103