Math, asked by 9177965649, 1 year ago

Find the value of 625 1\2

Answers

Answered by IamDeepSingh
5

Answer:

3125.5

Step-by-step explanation:

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Answered by patilcourt
3

Answer:\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

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