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}, a \geq 0

= 4^{3 (- 1)}

3 (- 1) = - 3

= 4^{- 3}

Apply exponent rule:

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

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

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

4^{3} = 64

= \frac{1}{64}

Popular Examples

simplify x^m*x^n simplify

x^{m} \cdot x^{n}

expand (x^2-x+1)(2x-5)expand

(x^{2} - x + 1) (2 x - 5)

\frac{75}{20}

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

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

simplify i^4+i^{-12}simplify

i^{4} + i^{- 12}

Frequently Asked Questions (FAQ)

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