en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/2)^{3/2}

Solution

simplify

(\frac{1}{2})^{\frac{3}{2}}

Solution

\frac{1}{2 \cdot 2 ^{\frac{1}{2}}}

+1

Decimal Notation

0.35355 \dots

Solution steps

(\frac{1}{2})^{\frac{3}{2}}

Apply exponent rule:

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

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

Apply rule

1^{a} = 1

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

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

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

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

Popular Examples

22 - 12 = 2 (x - 1)

1/4-[ 3/2 (4/3 \div 3/4)+1/2 ]

\frac{1}{4} - [\frac{3}{2} (\frac{4}{3} \div \frac{3}{4}) + \frac{1}{2}]

simplify (2^2)^4 simplify

(2^{2})^{4}

simplify (10n)/(2(n^{-3))^4}simplify

\frac{10 n}{2 ( n ^{- 3} ) ^{4}}

\frac{- x}{4} + \frac{x}{3} = - 4

Frequently Asked Questions (FAQ)

What is (1/2)^{3/2} ?
The solution to (1/2)^{3/2} is 1/(2*2^{1/2)}