Question

Which one of the following is not equal to (100/9)⁻³/² ?
A.(9/100)³/²
B.1/(100/9)³/²
C.3/10 × 3/10 × 3/10
D.√100/9 × 100/9 × 100/9

Answer 1

Step-by-step explanation:

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Answer 2

Given :   (100/9)⁻³/²

Solution :  

By using these law of exponents :[a^-p = 1/ a^p],   (a^m)ⁿ = a^mⁿ

We have (100/9)⁻³/²

= 1/(100/9)³/²

= 1/(10/3)² × ³/²

= 1/(10/3)³

= (3/10)³

= 3/10 × 3/10 × 3/10

2nd method :  

(100/9)⁻³/²

= (9/100)³/²

= (3/10)² ׳/²

= (3/10)³

=  3/10 × 3/10 × 3/10

The value of (100/9)⁻³/² is (9/100)³/², 1/(100/9)³/² and 3/10 × 3/10 × 3/10 .

Hence , √100/9 × 100/9 × 100/9 is not equal to (100/9)⁻³/².

Among the given options option (D)  √100/9 × 100/9 × 100/9 is correct.

HOPE THIS ANSWER WILL HELP YOU…..

 

Some questions of this chapter :

Which of the following is (are) not equal to {(⅚)¹៸⁵}⁻¹៸⁶ ?

A. (⅚)¹៸⁵ -¹/⁶

B. 1/ {(⅚)¹/⁵ }¹/⁶

C. (6/5)¹/³⁰

D. (⅚)⁻¹/³⁰

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Given : (256) ⁻⁽⁴^⁻³/²⁾

A. 8

B. 1/8

C. 2

D.1/2

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