en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[5]{32^{x^5}}

Solution

simplify

Solution

2^{x^{5}}

Solution steps

Apply radical rule:

= (3 2^{x^{5}})^{\frac{1}{5}}

Apply exponent rule:

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

= 3 2^{x^{5} \frac{1}{5}}

Simplify

x^{5} \frac{1}{5} : \frac{x ^{5}}{5}

= 3 2^{\frac{x ^{5}}{5}}

Factor the number:

32 = 2^{5}

= (2^{5})^{\frac{x ^{5}}{5}}

Apply exponent rule:

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

(2^{5})^{\frac{x ^{5}}{5}} = 2^{5 \cdot \frac{x ^{5}}{5}} = 2^{x^{5}}

= 2^{x^{5}}

Popular Examples

simplify 5.88*10^{-3}simplify

5.88 \cdot 1 0^{- 3}

simplify 60000pi*(1*10^{-6})simplify

60000 π \cdot (1 \cdot 1 0^{- 6})

simplify 5*(1.602*10^{-19})simplify

5 \cdot (1.602 \cdot 1 0^{- 19})

simplify t(100t^2)simplify

t (100 t^{2})

simplify (984.5+379.1)(2-5.5)^{-2}simplify

(984.5 + 379.1) (2 - 5.5)^{- 2}

Frequently Asked Questions (FAQ)

What is \sqrt[5]{32^{x^5}} ?
The solution to \sqrt[5]{32^{x^5}} is 2^{x^5}