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This mock test of Test: Exponents And Powers - 1 for Class 7 helps you for every Class 7 entrance exam.
This contains 20 Multiple Choice Questions for Class 7 Test: Exponents And Powers - 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Express 256 as a power 4.

Solution:

4*4*4*4 = 256

**256 = 4 ^{4}**

So option B is the correct answer.

QUESTION: 2

Express 729 as a power of 3.

Solution:

So option C is the correct answer.

QUESTION: 3

Express 2048 as a power 2.

Solution:

2048 = 2 x 1024

= 2 x 2 x 512

= 2 x 2 x 2 x 256

= 2 x 2 x 2 x 2x 128

= 2 x 2 x 2 x 2 x 2 x 64

= 2 x 2 x 2 x 2 x 2 x 2 x 32

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 16

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 8

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

= 2^{11}

So option B is the correct answer.

QUESTION: 4

Which of the following is the value of (4 / 5)^{-9} / (4 / 5)^{9}?

Solution:

QUESTION: 5

Express 432 as a product of powers of prime factors.

Solution:

Prime factorization of 432 is,

432 =2×2×2×2×3×3×3

to express this as power

432=(2)^{⁴}×(3)^{³}

QUESTION: 6

The value of (−1)^{55} is

Solution:

If any power having a odd number is raised to -1 then result will be -1

So (−1)^{55} = -1

So option B is correct answer.

QUESTION: 7

The value of (−1)^{500} is

Solution:

If any power having a even number is raised to -1 then the result will be 1

Since the power is an even number , So (−1)^{500} = 1

QUESTION: 8

The value of (−1)^{47} is

Solution:

If any power having a odd number is raised to -1 then result will be -1

So (−1)^{47} = -1

So option A is correct answer.

QUESTION: 9

The value of (−1)^{400} is

Solution:

If any power having an even number is raised to -1 then the result will be 1

Since the power is an even number , So (−1)^{4}^{00} = 1

So option A is the correct answer.

QUESTION: 10

Anu wanted to score 26 points in the game of cards, but ends up only 8/3 points. By how many points did she fail short?

Solution:

Points by which Anu fell short is

= 26 - 8/3 = (78 - 8)/3

= 70/3

QUESTION: 11

Simplify

Solution:

25^{4}/5^{3 }= (5^{2})^{4/}5^{3}=5^{8}/5^{3}=5^{8-3}=5^{5}

QUESTION: 12

can de written in exponential form as

Solution:

a × a × a × c × c × c × c × d = a^{3} × c^{4} × d

QUESTION: 13

512 can de written in exponential form as

Solution:

512=8*8*8=8^{3}=(2^{3})^{3}=2^{3*3}=2^{9}

QUESTION: 14

What is the reciprocal of (-3 / 4)^{0}?

Solution:

Anything raised to the power zero is 1 .

QUESTION: 15

can be written as

Solution:

(-2)^{3}(-10)^{3}=(-2)*(-2)*(-2)*(-10)*(-10)*(-10), which is the expansion of the exponential forms which means the power depicts how many times a number is multiplied.

QUESTION: 16

In 2^{5 }the exponent is

Solution:

**Exponents**, or powers, are a way of indicating that a quantity is to be multiplied by itself some number of times. In the expression **2 ^{5}**,

QUESTION: 17

The value of (4^{0 }- 2^{0}) x 5^{0 }is

Solution:

Anything raised to the power zero is 1 .

In the given expression, (4^{0 }- 2^{0}) x 5^{0}

^{ }= (1 - 1) x 1

= ( 0 ) x 1

= 0

So Option B is correct answer.

QUESTION: 18

If a = 3 and b = 4 then find the value of a^{a} + b^{b}

Solution:

Given, a = 3 and b = 4

a^{a} + b^{b }= 3^{3} + 4^{4 }= 3 x 3 x 3 + 4 x 4 x 4 x 4

= 27 + 16 x 16

= 27 + 256

= 283

So option A is the correct answer.

QUESTION: 19

(2/7)^{2} x (2/7)^{4} is equal to:

Solution:

Whenever you multiply two terms with the same base, you can add the exponents:

( x ^{m} ) ( x ^{n} ) = x^{( m + n )}

So (2/7)^{2} x (2/7)^{4} = (2/7)^{6}

So option C is the correct answer.

QUESTION: 20

1 lakh is equal to

Solution:

1 lakh is equal to 10^{5 }

So option A is the correct answer.

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