en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (27/8)^{4/3}

Solution

simplify

(\frac{27}{8})^{\frac{4}{3}}

Solution

\frac{81}{16}

+1

Decimal Notation

5.0625

Solution steps

(\frac{27}{8})^{\frac{4}{3}}

Apply exponent rule:

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

= \frac{2 7 ^{\frac{4}{3}}}{8 ^{\frac{4}{3}}}

2 7^{\frac{4}{3}} = 81

= \frac{81}{8 ^{\frac{4}{3}}}

8^{\frac{4}{3}} = 16

= \frac{81}{16}

Popular Examples

simplify x^4sqrt(x^{10)}simplify

x^{4} x^{10}

factor w^2+12w+36 factor

w^{2} + 12 w + 36

\frac{x}{2} \geq 6

simplify (5!)/(0!(5-0)!)simplify

\frac{5 !}{0 ! ( 5 - 0 ) !}

factor-21n^5-14n^4+7n^2 factor

- 21 n^{5} - 14 n^{4} + 7 n^{2}

Frequently Asked Questions (FAQ)

What is (27/8)^{4/3} ?
The solution to (27/8)^{4/3} is 81/16