simplify (a^{-1})^3

Solution

simplify

(a^{- 1})^{3}

\frac{1}{a ^{3}}

Solution steps

(a^{- 1})^{3}

Apply exponent rule:

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

assuming

a \geq 0

= a^{- 1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= a^{- 3}

Apply exponent rule:

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

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

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

- 3 - 27

14 4^{- \frac{3}{2}}

\frac{3 π}{2} + \frac{5 π}{6}

(100 v^{\frac{2}{5}})^{\frac{3}{2}}

\frac{4 x}{( 3 x ^{3} ) ^{3}}