Simplify:{{(625)^{-frac{1}{2}}}^{-frac{1}{4}} | vedclass

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Question

(A) To simplify the expression ${{(625)^{-\frac{1}{2}}}^{-\frac{1}{4}}}^{2}$,we use the power of a power rule: $(a^m)^n = a^{m 	imes n}$.Step $1$: Mu

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(A) To simplify the expression ${{(625)^{-\frac{1}{2}}}^{-\frac{1}{4}}}^{2}$,we use the power of a power rule: $(a^m)^n = a^{m 	imes n}$.Step $1$: Multiply the exponents.$(-1/2) 	imes (-1/4) 	imes 2 = (1/8) 	imes 2 = 1/4$.Step $2$: Apply the result to the base.$625^{1/4}$.Step $3$: Express $625$ as a power of $5$.$625 = 5^4$.Step $4$: Substitute and simplify.$(5^4)^{1/4} = 5^{4 	imes (1/4)} = 5^1 = 5$.

Simplify:
${{(625)^{-\frac{1}{2}}}^{-\frac{1}{4}}}^{2}$

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Simplify:${{(625)^{-\frac{1}{2}}}^{-\frac{1}{4}}}^{2}$