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Popular >

simplify ((5^0)/(3^{-1)})^{-2}

Solution

simplify

(\frac{5 ^{0}}{3 ^{- 1}})^{- 2}

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

(\frac{5 ^{0}}{3 ^{- 1}})^{- 2}

Apply exponent rule:

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

(\frac{5 ^{0}}{3 ^{- 1}})^{- 2} = \frac{1}{( \frac{5 ^{0}}{3 ^{- 1}} ) ^{2}}

= \frac{1}{( \frac{5 ^{0}}{3 ^{- 1}} ) ^{2}}

(\frac{5 ^{0}}{3 ^{- 1}})^{2} = 9

= \frac{1}{9}

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Frequently Asked Questions (FAQ)

What is ((5^0)/(3^{-1)})^{-2} ?
The solution to ((5^0)/(3^{-1)})^{-2} is 1/9