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Laws of Exponents for Real Numbers

Simplify the ...

Question

Simplify the following.
$3^{2} \div 3^{4}$

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Solution

Let $= 3^{2} \div 3^{4}$
Implies that
$= \frac{3 \times 3}{3 \times 3 \times 3 \times 3}$
Implies that
$= \frac{1}{3 \times 3}$
Hence,
$= \frac{1}{9}$

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