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Chapter 5: Q. 176 (page 523)

Explain why -53=(-5)3 but-54鈮�(-5)4

Short Answer

Expert verified

This is correct only for odd exponents, for even exponents it is not correct.

Step by step solution

01

Given information  

Explain why (-5)3=-53but(-5)4鈮�-54

02

Explanation

Here

(-5)3=(-1脳5)3=(-1)3脳(5)3=-1脳53=-53

And

(-5)4=(-1脳5)4=(-1)4脳(5)4=1脳54=54鈮�-54

This is correct only for odd exponents, for even exponents it is not correct.

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