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Test: Laws of Exponents - Class 9 MCQ


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20 Questions MCQ Test Mathematics (Maths) Class 9 - Test: Laws of Exponents

Test: Laws of Exponents for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation. The Test: Laws of Exponents questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Laws of Exponents MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Laws of Exponents below.
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Test: Laws of Exponents - Question 1

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

Detailed Solution for Test: Laws of Exponents - Question 1
  • When dividing powers with the same base, subtract the exponents:.
  • Power becomes  0.
  • Any number raised to the power of 0 equals 1
Test: Laws of Exponents - Question 2

 Find (64)-3/2

Detailed Solution for Test: Laws of Exponents - Question 2

(64)-3/2 = ( 8 )2 x - 3/2 =  (8)-3  

= 1 / (8)3 = 1/ 512 

So option B is correct answer . 

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Test: Laws of Exponents - Question 3

3x-3  *  5x-4 = 45
What is the value of x?

Detailed Solution for Test: Laws of Exponents - Question 3

Given,
first factorise 45 = 3251
[3(x-3)] 5(x-4) = 45 = 32 (51)
On comparing both sides we get,
x-3 = 2 and x-4 = 1
By solving we get
=> x = 5
Hence, option A is the correct answer.

Test: Laws of Exponents - Question 4

Find the value of 

Detailed Solution for Test: Laws of Exponents - Question 4

Correct option is B. 
( 1/4-1/9 )x9/25x-8/27
5/36x9/25x-8/27
-2/135

Test: Laws of Exponents - Question 5

Which of the following  (100 - 990) x 100?

Detailed Solution for Test: Laws of Exponents - Question 5


To solve this problem, we need to evaluate the expression (100 - 990) x 100. Let's break it down step by step:
Step 1: Evaluate 990: Any number raised to the power of 0 is equal to 1. So, 990 = 1.
Step 2: Substitute the value of 990 into the expression: (100 - 1) x 100 = 99 x 100.
Step 3: Multiply 99 and 100: 99 x 100 = 9900.
Therefore, the value of the expression (100 - 990) x 100 is 9900.
Hence, the correct answer is C: 9900.

Test: Laws of Exponents - Question 6

Simplified value ofis:

Detailed Solution for Test: Laws of Exponents - Question 6

(25)1/3=(52)1/3=(5)2/3
52/3x51/3=53/3  = 52/3+1/3   = 51   [ax a = a(m+n)  ]
so answer is 5

Test: Laws of Exponents - Question 7

163/2 is equal to———-

Detailed Solution for Test: Laws of Exponents - Question 7

(4²)3/2 = (4)3/2 ×2 = (4)³ = 64

Test: Laws of Exponents - Question 8

Simplify: 

Detailed Solution for Test: Laws of Exponents - Question 8

Using the quotient rule for exponents, (am / an) = a(m - n):

131/5 / 131/3 = 13(1/5 - 1/3)
= 131/5 - 1/3
= 13 3 - 5 / 15
= 13-2/15

Test: Laws of Exponents - Question 9

Detailed Solution for Test: Laws of Exponents - Question 9

Correct answer is D. 16.

= (16)3/2  -  1/2

= (16)1

= 16.

Test: Laws of Exponents - Question 10

What isequal to?

Detailed Solution for Test: Laws of Exponents - Question 10

Recognize that 8 can be expressed as 23, as 2 x 2 x 2 = 8.
Rewrite 8-5/3 as (23)-5/3
Apply the power of a power rule, which states that (am)n = amn. In this case,
multiply the exponents: 3 x -5/3
Simplify the expression.
Let's go through the steps:

(23)-5/3

(2)-5

Now, 2-5 means taking the reciprocal of 25 (since a negative exponent indicates
reciprocal), so: 

2-5 = 1/  25

= 1/32  [ 2= 2x2x2x2x2 = 32 ]

Test: Laws of Exponents - Question 11

Which of the following is equal to 

Test: Laws of Exponents - Question 12

If there are n zeros after the decimal point, then the characteristic of that number will be

Detailed Solution for Test: Laws of Exponents - Question 12

For number less than 1, if there are n zeroes after the decimal point, then the characteristics of that number will be −(n+1).

and For number  greater than 1, if  there are n number of zeroes are on the left sides of the digits then characteristics will be (n+1).

Hence, C is the correct option.

Test: Laws of Exponents - Question 13

Simplified value of  is:

Detailed Solution for Test: Laws of Exponents - Question 13

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

Test: Laws of Exponents - Question 14

Which of the following statement is true

Detailed Solution for Test: Laws of Exponents - Question 14
Explanation:
To find the value of x0, we need to understand the concept of exponentiation.
- When a number is raised to the power of 0, it always equals 1. This is true for any number except 0.
Therefore, the correct statement is:
x0 = 1
The other statements are incorrect:
- A: x0 = 1/x - This is not true. x0 is always equal to 1, not 1/x.
- B: x0 = x - This is not true. x0 is always equal to 1, not x.
- C: x0 = 0 - This is not true. x0 is always equal to 1, not 0.
Therefore, the correct answer is D: x0 = 1.
Test: Laws of Exponents - Question 15

The value of  is:

Detailed Solution for Test: Laws of Exponents - Question 15

It's 1 because of a0= 1.
So 1×1/1 = 1

Test: Laws of Exponents - Question 16

(256)3/4 = ?

Detailed Solution for Test: Laws of Exponents - Question 16

Test: Laws of Exponents - Question 17

What is the value of (-1)-1?

Detailed Solution for Test: Laws of Exponents - Question 17

(-1)-1 =  - 1 / 1 = -1

Test: Laws of Exponents - Question 18

811/2 is equal to ——

Detailed Solution for Test: Laws of Exponents - Question 18

811/2  can be written as (9) 2x1/2 =  9 

Test: Laws of Exponents - Question 19

The value of 491/2 is equal to———

Detailed Solution for Test: Laws of Exponents - Question 19

491/2 can be written as  (7)2x1/2 = 7

Test: Laws of Exponents - Question 20

=

Detailed Solution for Test: Laws of Exponents - Question 20

 ( 5 ) 3 x -1/3   x  ( 5 ) 2  x -1/2 

  ( 5 ) -1  x   ( 5 )  -1

   1 / 25 

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