en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4^{1/3})^{-5}

Solution

simplify

(4^{\frac{1}{3}})^{- 5}

Solution

\frac{1}{4 \cdot 4 ^{\frac{2}{3}}}

+1

Decimal Notation

0.09921 \dots

Solution steps

(4^{\frac{1}{3}})^{- 5}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 4^{\frac{1}{3} (- 5)}

\frac{1}{3} (- 5) = - \frac{5}{3}

= 4^{- \frac{5}{3}}

Apply exponent rule:

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

4^{- \frac{5}{3}} = \frac{1}{4 ^{\frac{5}{3}}}

= \frac{1}{4 ^{\frac{5}{3}}}

4^{\frac{5}{3}} = 4 \cdot 4^{\frac{2}{3}}

= \frac{1}{4 \cdot 4 ^{\frac{2}{3}}}

Popular Examples

simplify 2*1/x simplify

2 \cdot \frac{1}{x}

simplify (-4)/(12)simplify

\frac{- 4}{12}

simplify 7/8-1/4-1/2 simplify

\frac{7}{8} - \frac{1}{4} - \frac{1}{2}

simplify (3xy^8)/(x^2y^8)simplify

\frac{3 x y ^{8}}{x ^{2} y ^{8}}

simplify 1/(3.2144*10^{-3)}simplify

\frac{1}{3.2144 \cdot 1 0 ^{- 3}}

Frequently Asked Questions (FAQ)

What is (4^{1/3})^{-5} ?
The solution to (4^{1/3})^{-5} is 1/(4*4^{2/3)}