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Popular >

factor (1/9)^{-2}

Solution

factor

(\frac{1}{9})^{- 2}

Solution

81

Solution steps

(\frac{1}{9})^{- 2}

Apply exponent rule:

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

= \frac{1}{( \frac{1}{9} ) ^{2}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{9})^{2} = \frac{1 ^{2}}{9 ^{2}}

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

Apply rule

1^{a} = 1

1^{2} = 1

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

Apply the fraction rule:

\frac{a}{1} = a

= 9^{2}

9^{2} = 81

= 81

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Frequently Asked Questions (FAQ)

What is factor (1/9)^{-2} ?
The solution to factor (1/9)^{-2} is 81