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## 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
(D) Both A & B

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

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

Question 4.
Which is greater 52 (or) 25?
(A) 52
(B) 25
(C) A & B
(D) None
(B) 25 Question 5.
am × an = _______
(A) am+n
(B) am-n
(C) am ÷ an
(D) $$\frac{a^{m}}{a^{n}}$$
(A) am+n

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

Question 7.
23 × 53 = _______
(A) 26
(B) 103
(C) 106
(D) 56
(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
(C) am-n

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

Question 10.
a°= _______
(A) $$\frac{1}{a}$$
(B) 0
(C) a
(D) 1
(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) $$\left(\frac{b}{a}\right)^{m}$$
(C) $$\left(\frac{a}{b}\right)^{m}$$

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

Question 13.
$$\left(\frac{8}{5}\right)^{4}$$ = _______
(A) (8 × 5)4
(B) $$\frac{8^{4}}{5^{4}}$$
(C) 84 × 54
(D) $$\frac{5^{4}}{8^{4}}$$
(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
(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
(A) 1.496 × 1011

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

Question 17.
If 3x = 4, then 3x+2 = ________
(A) 8
(B) 6
(C) 108
(D) 36
(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
(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
(C) 1 Question 20.
a3 × a-2× a-5 = _______
(A) a10
(B) $$\frac{1}{a^{4}}$$
(C) a4
(D) a-7
(B) $$\frac{1}{a^{4}}$$

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

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

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

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

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

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

Question 27.
If a = 25, then a1 + a° = _______
(A) 25
(B) 26
(C) 24
(D) 0
(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)
(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
(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
(B) 1.2 × 1010 years

Reasoning Questions :

Find the odd one from the given.

Question 1.
(A) 4
(B) 24
(C) 32
(D) 17
(D) 17 Question 2.
(A) 17
(B) 19
(C) 23
(D) 25
(D) 25

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

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

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

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

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

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

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

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

Fill in the blanks:

Question 1.
In an, a is called ________
base

Question 2.
104 can be read as ________
10 raised to the power of 4 Question 3.
In 105 exponent is ____________
5

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

Question 5.
54 × 56 = ___________ .
510

Question 6.
(94)3 = ______________ .
912

Question 7.
am × bm ___________
(ab)m

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

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

Question 10.
(100)° = ________
1

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

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

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

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

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

Question 16.
223 = ________
256

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

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

Question 19.
If 2x+1 = 42, then 2x-1 = ________
4 Question 20.
$$\frac{1}{4^{-1}}+\frac{1}{5^{-1}}$$ = ________
9

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

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

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

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

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

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

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

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

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

Question 30.
If 4x = 82, then x = ________
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

 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) $$\frac{1}{a^{n-m}}$$

 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
 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) $$\left(\frac{b}{a}\right)^{m}$$
 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