Find the value of 64^{frac{5}{6}}. | vedclass

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Question

(B) To find the value of $64^{\frac{5}{6}}$,we first express $64$ as a power of $2$.We know that $64 = 2 	imes 2 	imes 2 	imes 2 	imes 2 	imes 2

Vedclass · Accepted Answer

$32$

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(B) To find the value of $64^{\frac{5}{6}}$,we first express $64$ as a power of $2$.We know that $64 = 2 	imes 2 	imes 2 	imes 2 	imes 2 	imes 2 = 2^{6}$.Substituting this into the expression,we get:$64^{\frac{5}{6}} = (2^{6})^{\frac{5}{6}}$.Using the exponent rule $(a^{m})^{n} = a^{m 	imes n}$,we multiply the exponents:$2^{6 	imes \frac{5}{6}} = 2^{5}$.Finally,calculating $2^{5}$:$2^{5} = 2 	imes 2 	imes 2 	imes 2 	imes 2 = 32$.

Find the value of $64^{\frac{5}{6}}$.

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