Express the following rational numbers with a positive exponent: … - Vidyadip

Question

Express the following rational numbers with a positive exponent: $\bigg[\Big(\frac{3}{2}\Big)^{4}\bigg]^{-2}$

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Answer

$\bigg[\Big(\frac{3}{2}\Big)^{4}\bigg]^{-2}=\Big(\frac{3}{2}\Big)^{(4)\times(-2)}$ $=\Big(\frac{3}{2}\Big) ^{12}=\Big(\frac{2}{3}\Big)^8$

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