Find the value of 625 1\2
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Answered by
5
Answer:
3125.5
Step-by-step explanation:
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Answered by
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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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