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(x2/5)n

For what value of n, written as a decimal, will the expression equal x?

User Jpshook
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1 Answer

3 votes

Given:

The expression is:


\left(x^{(2)/(5)\right)^n

To find:

The decimal value of n so that the value of the given expression is equal to x.

Solution:

We have,


\left(x^{(2)/(5)\right)^n

This expression is equal to x.


\left(x^{(2)/(5)\right)^n=x


x^{(2)/(5)n}=x^1
[\because (a^m)^n=a^(mn)]

On comparing the exponents, we get


(2)/(5)n=1


2n=5


n=(5)/(2)


n=2.5

Therefore, the required value of n is 2.5.

User Nilakshi Naphade
by
8.1k points

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