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Popular >

simplify (5^0*5^{-3})^{-3}

Solution

simplify

(5^{0} \cdot 5^{- 3})^{- 3}

Solution

1953125

Solution steps

(5^{0} \cdot 5^{- 3})^{- 3}

Apply exponent rule:

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

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

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

(5^{0} \cdot 5^{- 3})^{3} = \frac{1}{1953125}

= \frac{1}{\frac{1}{1953125}}

\frac{1}{\frac{1}{1953125}} = 1953125

= 1953125

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Frequently Asked Questions (FAQ)

What is (5^0*5^{-3})^{-3} ?
The solution to (5^0*5^{-3})^{-3} is 1953125