Find the value of left(frac{1}{27}right)^{-fr | vedclass

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(D) Given expression: $\left(\frac{1}{27}\right)^{-\frac{2}{3}}$First,express $27$ as a power of $3$: $27 = 3^3$.So,$\frac{1}{27} = \frac{1}{3^3} = 3^

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(D) Given expression: $\left(\frac{1}{27}ight)^{-\frac{2}{3}}$First,express $27$ as a power of $3$: $27 = 3^3$.So,$\frac{1}{27} = \frac{1}{3^3} = 3^{-3}$.Substitute this into the expression: $(3^{-3})^{-\frac{2}{3}}$.Using the power rule $(a^m)^n = a^{m 	imes n}$,we get: $3^{-3 	imes -\frac{2}{3}}$.Simplify the exponent: $-3 	imes -\frac{2}{3} = 2$.Therefore,the expression becomes $3^2 = 9$.

Find the value of $\left(\frac{1}{27}\right)^{-\frac{2}{3}}$.

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