en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4)^{-3/2}

Solution

simplify

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

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

4^{- \frac{3}{2}}

Factor the number:

4 = 2^{2}

= (2^{2})^{- \frac{3}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{2 (- \frac{3}{2})}

2 (- \frac{3}{2}) = - 3

= 2^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

2^{3} = 8

= \frac{1}{8}

Popular Examples

simplify ((mp^4)/(2m^4*2m^{-4)p^4})^{-1}simplify

(\frac{m p ^{4}}{2 m ^{4} \cdot 2 m ^{- 4} p ^{4}})^{- 1}

6 = \frac{5}{3} (8 x + 9)

\frac{n}{2} + 12 = 3

x/2 =3+(x-30)/5

\frac{x}{2} = 3 + \frac{x - 30}{5}

simplify (3/5)^{-0.85}simplify

(\frac{3}{5})^{- 0.85}

Frequently Asked Questions (FAQ)

What is (4)^{-3/2} ?
The solution to (4)^{-3/2} is 1/8