Question

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

Answer 1

Given :  {(⅚)¹៸⁵}⁻¹៸⁶

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

 {(⅚)¹៸⁵}⁻¹៸⁶ = 1 / {(⅚)¹៸⁵}¹/⁶

{(⅚)¹៸⁵}⁻¹៸⁶ = (⅚) ⁻¹/³⁰

{(⅚)¹៸⁵}⁻¹៸⁶ = (6/5) ¹/³⁰

Hence,   {(⅚)¹៸⁵}⁻¹៸⁶ is   (6/5) ¹/³⁰.

Among the given options option (A) (⅚)¹៸⁵ ⁻ ¹/⁶ is correct.

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Answer 2

Step-by-step explanation:

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