simplify (x^a)^{-1}

Solution

simplify

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

\frac{1}{x ^{a}}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

= x^{a (- 1)}

Simplify

a (- 1) : - a

= x^{- a}

Apply exponent rule:

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

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

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

\frac{( 1 + i ) ^{n}}{( 1 - i ) ^{n}} - 2

8^{x} - \frac{1}{2 ^{y}} + 2

6 x - 2 y

\frac{( a ^{10} + b ^{10} )}{( a ^{- 1} 0 + b ^{- 1} 0 )}

\frac{( z - 3 i )}{( 5 i )}