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

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) a^m
(D) m^a
Answer:
(C) a^m

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

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

Question 6.
(a^m)ⁿ = ________
(A) a^m.n
(B) a^m+n
(C) a^m-n
(D) \(\frac{a^{m}}{a^{n}}\)
Answer:
(A) a^m.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) a^m+n
(C) a^m-n
(D) a^m.n
Answer:
(C) a^m-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) a^m . b^m
(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 3^x = 4, then 3^x+2 = ________
(A) 8
(B) 6
(C) 108
(D) 36
Answer:
(D) 36

Question 18.
a^x+y-z × a^y+z-x × a^z+x-y = ________
(A) 0
(B) 1
(C) a^x+y+z
(D) a^3x+3y+3z
Answer:
(B) 1

Question 19.
(x^a+b)^a-b × (x^b+c)^b-c × (x^c+a)^c-a = ________
(A) x^2a+2b+2c
(B) x^{2a²+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 3^x = 81, then 3^x+1= ________
(A) 82
(B) 27
(C) 243
(D) 81
Answer:
(C) 243

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

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.
a^m × b^m ___________
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, a^m-n = ________
Answer:
1

Question 16.
2^2³ = ________
Answer:
256

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

Question 18.
a^x-y × a^y-z × a^z-x = ________
Answer:
1

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

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

Question 21.
If 5^x = 25, then 5^x-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 x^2a+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 4^x = 8², then x = ________
Answer:
3

Match the following :

Question 1.

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

Answer:

Group A	Group B
1. a × a × a × …. × a (10 times) =	(C) a¹⁰
2. a^m× aⁿ=	E) a^m+n
3. (a^m)ⁿ=	(D) a^mn
4. (a × b)^m=	(A) a^m× b^m
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) a^mn
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) a^mn
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