en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((-4)^3)^{-1}

Solution

simplify

((- 4)^{3})^{- 1}

Solution

- \frac{1}{64}

+1

Decimal Notation

- 0.015625

Solution steps

((- 4)^{3})^{- 1}

Apply exponent rule:

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

= (- 4)^{3 (- 1)}

3 (- 1) = - 3

= (- 4)^{- 3}

Apply exponent rule:

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

= \frac{1}{( - 4 ) ^{3}}

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

(- 4)^{3} = - 4^{3}

= \frac{1}{- 4 ^{3}}

Apply the fraction rule:

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

= - \frac{1}{4 ^{3}}

4^{3} = 64

= - \frac{1}{64}

Popular Examples

simplify 1.18*10^{-23}simplify

1.18 \cdot 1 0^{- 23}

simplify e^y(e^{-y})simplify

e^{y} (e^{- y})

simplify-16(2x+1)^2(x-2)^2(x-4)simplify

- 16 (2 x + 1)^{2} (x - 2)^{2} (x - 4)

simplify e^{(-1439.1^{-2})}simplify

e^{(- 1439. 1^{- 2})}

simplify e^{-1000000000}simplify

e^{- 1000000000}

Frequently Asked Questions (FAQ)

What is ((-4)^3)^{-1} ?
The solution to ((-4)^3)^{-1} is -1/64