en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (z^{-3})^{1/9}

Solution

simplify

(z^{- 3})^{\frac{1}{9}}

Solution

\frac{1}{z ^{\frac{1}{3}}}

Solution steps

(z^{- 3})^{\frac{1}{9}}

Apply exponent rule:

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

assuming

a \geq 0

= z^{- 3 \cdot \frac{1}{9}}

- 3 \cdot \frac{1}{9} = - \frac{1}{3}

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

Apply exponent rule:

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

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

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

Popular Examples

3 x^{2} - 9 x > 0

x^{2} + 5 x = - 9

simplify (16x)^{5/4}simplify

(16 x)^{\frac{5}{4}}

simplify 5/(1/7)simplify

\frac{5}{\frac{1}{7}}

simplify (3sqrt(2)-4)^2 simplify

(32 - 4)^{2}

Frequently Asked Questions (FAQ)

What is (z^{-3})^{1/9} ?
The solution to (z^{-3})^{1/9} is 1/(z^{1/3)}