What is [(3^2)^{-3}]^{-1} ?

The solution to [(3^2)^{-3}]^{-1} is 729

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simplify [(3^2)^{-3}]^{-1}

simplify

[(3^{2})^{- 3}]^{- 1}

729

Solution steps

[(3^{2})^{- 3}]^{- 1}

(3^{2})^{- 3} : 3^{- 6}

= [3^{- 6}]^{- 1}

Apply exponent rule:

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

= \frac{1}{3 ^{- 6}}

Apply exponent rule:

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

3^{- 6} = \frac{1}{3 ^{6}}

= \frac{1}{\frac{1}{3 ^{6}}}

Apply the fraction rule:

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

= \frac{3 ^{6}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 3^{6}

3^{6} = 729

= 729

0.79 \cdot 1 0^{- 3}

(3 x^{2} y) (4 x^{5} y^{3})

- 5 w^{4} x y^{4} (4 w^{9} y^{15})

278989079.8 \cdot 27 0^{- 2.6}

(5.8 x 1 0^{- 6}) (2 x 1 0^{4})