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This mock test of Test: Laws of Exponents for Class 9 helps you for every Class 9 entrance exam.
This contains 20 Multiple Choice Questions for Class 9 Test: Laws of Exponents (mcq) to study with solutions a complete question bank.
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QUESTION: 1

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

Solution:

QUESTION: 2

(64)^{-3/2}

Solution:

(64)^{-}^{3/2} = ( 8 )^{2 x - 3/2} = (8)^{-3 }

= 1 / (8)^{3} = 1/ 512

So option B is correct answer .

QUESTION: 3

3^{x-3} * 5^{x-4} = 45

What is the value of x?

Solution:

Given,

[3^{(x-3)}] 5^{(x-4)} = 45 = 3^{2} (5^{1})

On comparing both sides we get,

x-3 = 2 and x-4 = 1

=> x = 5

Hence, option A is the correct answer.

QUESTION: 4

Find the value of

Solution:

QUESTION: 5

Which of the following = (100 - 99^{0}) x 100?

Solution:

QUESTION: 6

Simplified value ofis:

Solution:

QUESTION: 7

16^{3/2} is equal to———-

Solution:

(4²)^{3/2} = (4)^{3/2 ×2} = (4)³ = 64

QUESTION: 8

Simplify:

Solution:

QUESTION: 9

Solution:

QUESTION: 10

What isequal to?

Solution:

QUESTION: 11

Which of the following is equal to

Solution:

QUESTION: 12

How many zeros after the decimal point will be there in the decimal form of the number 10^{-n} ?

Solution:

QUESTION: 13

Simplified value of is:

Solution:

(16)^-1/4 × 4√16 =(16)^-1/4 × (16)^1/4 =(16)^-1/4+1/4 =(16)^0 = 1.

QUESTION: 14

Which of the following statement is true

Solution:

QUESTION: 15

The value of is:

Solution:

It's 1 because of a^{0}= 1.

So 1×1/1 = 1

QUESTION: 16

(256)^{3/4} = ?

Solution:

QUESTION: 17

What is the value of (-1)^{-1}?

Solution:

(-1)^{-1 }= - 1 / 1 = -1

QUESTION: 18

81^{1/2} is equal to ——

Solution:

81^{1/2 } can be written as (9) ^{2x1/2} = 9

QUESTION: 19

The value of 49^{1/2} is equal to———

Solution:

49^{1/2 }can be written as (7)^{2x1/2} = 7

QUESTION: 20

=

Solution:

( 5 ) ^{3 x -1/3 } x ( 5 ) ^{2 x }^{-1/2 }

( 5 ) ^{-1 }x ( 5 ) ^{ -1}

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