Question

Simplify: (((625)^-1/2)^-1/4)^2

Answer 1

Answer:

Answer is 5

Step-by-step explanation:

(((625)^-1/2)^-1/4)^2

((1/625)^1/2)^-1/4x2

(√1/625)^-1/2

(1/25)^-1/2

(25)^1/2

√25

5

Answer 2

Step-by-step explanation:

By simplifying the given equation we get the answer as 5.

Step-by-step explanation:

To simplify: \left[\left\{(625)^{-\frac{1}{2}}\right\}^{\frac{1}{4}}\right]^{2}, powers have to be multiplied

Consider the powers \left[\frac{-1}{2} \times \frac{-1}{4}\right]^{2}=\left[\frac{-1}{2} \times \frac{-1}{4}\right] \times 2

\begin{array}{l}{=\left[\frac{-1}{2} \times \frac{-1}{2}\right]=\frac{1}{4}} \\ {(625)^{\frac{1}{4}}=(5 \times 5 \times 5 \times 5)^{\frac{1}{4}}} \\ {=(5)^{4}\left(\frac{1}{4}\right)}\end{array}

Therefore, \left[\left\{(625)^{-\frac{1}{2}}\right\}^{\frac{1}{4}}\right]^{2} = 5

ok I gibe a answer