What is [(x^6y^{-6})^{-1}]^{-1} ?

The solution to [(x^6y^{-6})^{-1}]^{-1} is (x^6)/(y^6)

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simplify [(x^6y^{-6})^{-1}]^{-1}

simplify

[(x^{6} y^{- 6})^{- 1}]^{- 1}

\frac{x ^{6}}{y ^{6}}

Solution steps

((x^{6} y^{- 6})^{- 1})^{- 1}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (x^{6} y^{- 6})^{- 1 \cdot (- 1)}

- 1 \cdot (- 1) = 1

= (x^{6} y^{- 6})^{1}

Apply exponent rule:

a^{1} = a

= x^{6} y^{- 6}

Apply exponent rule:

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

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

= \frac{1}{y ^{6}} x^{6}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot x ^{6}}{y ^{6}}

Multiply:

1 \cdot x^{6} = x^{6}

= \frac{x ^{6}}{y ^{6}}

\frac{24}{5}

(27)^{\frac{5}{3}}

(- 4) \times (- 6)

(\frac{a}{b})^{m}

\frac{4}{5} + \frac{1}{10}

What is [(x^6y^{-6})^{-1}]^{-1} ?
The solution to [(x^6y^{-6})^{-1}]^{-1} is (x^6)/(y^6)