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

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 |-2+3|simplify

∣ - 2 + 3 ∣

simplify (-1)/(-4+sqrt(7))simplify

\frac{- 1}{- 4 + 7}

expand (x^2+3)(x-4)expand

(x^{2} + 3) (x - 4)

factor 8x^2-14xy+3y^2 factor

8 x^{2} - 14 x y + 3 y^{2}

simplify 1/(2-sqrt(5))simplify

\frac{1}{2 - 5}

Frequently Asked Questions (FAQ)

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