Question

Evaluate:
(4/25)^1/2 in fraction

Answer 1

The answer is C

Explanation:

I just took the A pex test and got the question right.

You might want to clean your screen lol

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Answer 2

As

`\left((4)/(25)\right)^{(1)/(2)}=(2)/(5)`

Therefore, option C is true.

Explanation:

Given the expression

`\left((4)/(25)\right)^{(1)/(2)}`

as

`\mathrm{Apply\:exponent\:rule}:\quad \left((a)/(b)\right)^c=(a^c)/(b^c)`

so the expression becomes

`\left((4)/(25)\right)^{(1)/(2)}=\frac{4^{(1)/(2)}}{25^{(1)/(2)}}`

`=\frac{4^{(1)/(2)}}{25^{(1)/(2)}}`

`=\frac{2}{25^{(1)/(2)}}`

`=(2)/(5)`

Hence,

`\left((4)/(25)\right)^{(1)/(2)}=(2)/(5)`

Therefore, option C is true.