simplify 9*3^{-2}

Solution

simplify

9 \cdot 3^{- 2}

1

Solution steps

9 \cdot 3^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

3^{- 2} = \frac{1}{3 ^{2}}

= 9 \cdot \frac{1}{3 ^{2}}

3^{2} = 9

= 9 \cdot \frac{1}{9}

Convert element to fraction:

9 = \frac{9}{1}

= \frac{9}{1} \cdot \frac{1}{9}

Cross-cancel common factor:

9

= 1

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