en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (\sqrt[3]{4})^{3/2}

Solution

simplify

Solution

2

Solution steps

Apply exponent rule:

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

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

Cross-cancel:

3

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

Factor the number:

4 = 2^{2}

= (2^{2})^{\frac{1}{2}}

Apply exponent rule:

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

(2^{2})^{\frac{1}{2}} = 2^{2 \cdot \frac{1}{2}} = 2

= 2

Popular Examples

simplify e^{x/2}(e^{x/2})simplify

e^{\frac{x}{2}} (e^{\frac{x}{2}})

simplify \sqrt[12]{9^5}simplify

simplify e^{-((0.4)/9)*3.1416}simplify

e^{- (\frac{0.4}{9}) \cdot 3.1416}

simplify \sqrt[6]{sqrt(c^3)}simplify

simplify 2sqrt(\sqrt{2)}simplify

22

Frequently Asked Questions (FAQ)

What is (\sqrt[3]{4})^{3/2} ?
The solution to (\sqrt[3]{4})^{3/2} is 2