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Popular >

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

Solution

simplify

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

Solution

531441

Solution steps

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

(3^{5})^{2} = 59049

= \frac{59049}{3 ^{- 2}}

Factor the number:

59049 = 3^{10}

= \frac{3 ^{10}}{3 ^{- 2}}

Apply exponent rule:

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

= 3^{10 - (- 2)}

10 - (- 2) = 12

= 3^{12}

3^{12} = 531441

= 531441

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Frequently Asked Questions (FAQ)

What is ((3^5)^2)/(3^{-2)} ?
The solution to ((3^5)^2)/(3^{-2)} is 531441