en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{(81)^3}

Solution

simplify

Solution

27

Solution steps

Apply radical rule:

= ((81)^{3})^{\frac{1}{4}}

Apply exponent rule:

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

= (81)^{3 \cdot \frac{1}{4}}

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

= (81)^{\frac{3}{4}}

Factor the number:

81 = 3^{4}

= (3^{4})^{\frac{3}{4}}

Apply exponent rule:

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

(3^{4})^{\frac{3}{4}} = 3^{4 \cdot \frac{3}{4}} = 3^{3}

= 3^{3}

Refine

= 27

Popular Examples

simplify (0)^6e^{-(0)^2}simplify

(0)^{6} e^{- (0)^{2}}

simplify 4.3*10^{-7}simplify

4.3 \cdot 1 0^{- 7}

simplify e^{-e^{-1}}simplify

e^{- e^{- 1}}

simplify 170000(1+0.065)^{-5}simplify

170000 (1 + 0.065)^{- 5}

simplify (3^{907})/(3^{905)}simplify

\frac{3 ^{907}}{3 ^{905}}

Frequently Asked Questions (FAQ)

What is \sqrt[4]{(81)^3} ?
The solution to \sqrt[4]{(81)^3} is 27