Simplify: (frac{1}{27})^{frac{-2}{3}} | vedclass

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

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(B) Given expression: $(\frac{1}{27})^{\frac{-2}{3}}$First,express $27$ as a power of $3$: $27 = 3^3$.So,$\frac{1}{27} = \frac{1}{3^3} = 3^{-3}$.Now,substitute this into the expression:$(3^{-3})^{\frac{-2}{3}}$Using the power rule $(a^m)^n = a^{m 	imes n}$:$3^{-3 	imes \frac{-2}{3}} = 3^2$Finally,calculate the value:$3^2 = 9$.

Simplify: $(\frac{1}{27})^{\frac{-2}{3}}$

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