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^{3})^{- 2}

Solution

\frac{1}{4096}

+1

Decimal Notation

0.00024 \dots

Solution steps

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

Apply exponent rule:

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

= 4^{3 (- 2)}

3 (- 2) = - 6

= 4^{- 6}

Apply exponent rule:

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

4^{- 6} = \frac{1}{4 ^{6}}

= \frac{1}{4 ^{6}}

4^{6} = 4096

= \frac{1}{4096}

Popular Examples

factor x^7-128 factor

x^{7} - 128

expand (a^2+3a-2)^2 expand

(a^{2} + 3 a - 2)^{2}

simplify (-m^3n^{-1})(m^{-2}n^2)simplify

(- m^{3} n^{- 1}) (m^{- 2} n^{2})

simplify 7/10-4/5 simplify

\frac{7}{10} - \frac{4}{5}

simplify 10sqrt(3)+6sqrt(3)simplify

103 + 63

Frequently Asked Questions (FAQ)

What is (4^3)^{-2} ?
The solution to (4^3)^{-2} is 1/4096