en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (9/4)^{3/2}

Solution

simplify

(\frac{9}{4})^{\frac{3}{2}}

Solution

\frac{27}{8}

+1

Decimal Notation

3.375

Solution steps

(\frac{9}{4})^{\frac{3}{2}}

Apply exponent rule:

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

= \frac{9 ^{\frac{3}{2}}}{4 ^{\frac{3}{2}}}

9^{\frac{3}{2}} = 27

= \frac{27}{4 ^{\frac{3}{2}}}

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

= \frac{27}{8}

Popular Examples

3 x + 3 = x + 11

simplify (b+2)/(15b)-(3c-5)/(45c)simplify

\frac{b + 2}{15 b} - \frac{3 c - 5}{45 c}

simplify 3/5+1/3 simplify

\frac{3}{5} + \frac{1}{3}

3 x^{2} - 7 = x^{2} + 9

factor 64c^3-56c^2+88c factor

64 c^{3} - 56 c^{2} + 88 c

Frequently Asked Questions (FAQ)

What is (9/4)^{3/2} ?
The solution to (9/4)^{3/2} is 27/8