What is (6^{-5}*6^4)^{-1} ?

The solution to (6^{-5}*6^4)^{-1} is 6

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simplify (6^{-5}*6^4)^{-1}

simplify

(6^{- 5} \cdot 6^{4})^{- 1}

6

Solution steps

(6^{- 5} \cdot 6^{4})^{- 1}

Apply exponent rule:

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

(6^{- 5} \cdot 6^{4})^{- 1} = \frac{1}{6 ^{- 5} \cdot 6 ^{4}}

= \frac{1}{6 ^{- 5} \cdot 6 ^{4}}

6^{- 5} \cdot 6^{4} = 6^{- 1}

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

Apply exponent rule:

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

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

= \frac{1}{\frac{1}{6}}

Apply the fraction rule:

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

= \frac{6}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 6

15 y^{2} - 29 y + 12

- 7 (- 0.2 k - 0.4) - 7 (- 0.4 k - 0.6)

(2 x + 1) (- x - 3)

- (- \frac{1}{2})

\frac{528}{3}