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Popular >

simplify (3^3*6^6)^{-3}

Solution

simplify

(3^{3} \cdot 6^{6})^{- 3}

Solution

\frac{1}{19683 \cdot 6 ^{18}}

+1

Decimal Notation

5.00249 E - 19

Solution steps

(3^{3} \cdot 6^{6})^{- 3}

Apply exponent rule:

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

(3^{3} \cdot 6^{6})^{- 3} = \frac{1}{( 3 ^{3} \cdot 6 ^{6} ) ^{3}}

= \frac{1}{( 3 ^{3} \cdot 6 ^{6} ) ^{3}}

(3^{3} \cdot 6^{6})^{3} = 19683 \cdot 6^{18}

= \frac{1}{19683 \cdot 6 ^{18}}

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Frequently Asked Questions (FAQ)

What is (3^3*6^6)^{-3} ?
The solution to (3^3*6^6)^{-3} is 1/(19683*6^{18)}