(2^3)^ 2× (3^2)^2 = 2^(3× 2)× 3^(2× 2) = 2^ 6× 3^4 = 12^6× 3^4 = 3^42^6 = 8184 ...

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Laws of Exponents for Real Numbers

Simplify 23...

Question

Simplify $(2^{3})^{- 2} \times (3^{2})^{2}$

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Solution

$(2^{3})^{- 2} \times (3^{2})^{2} = 2^{(3 \times - 2)} \times 3^{(2 \times 2)}$
$= 2^{- 6} \times 3^{4} = \frac{1}{2^{6}} \times 3^{4} = \frac{3^{4}}{2^{6}} = \frac{81}{84}$

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