en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2^{-2})^3

Solution

simplify

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

Solution

\frac{1}{64}

+1

Decimal Notation

0.015625

Solution steps

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

Apply exponent rule:

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

= 2^{- 2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= 2^{- 6}

Apply exponent rule:

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

2^{- 6} = \frac{1}{2 ^{6}}

= \frac{1}{2 ^{6}}

2^{6} = 64

= \frac{1}{64}

Popular Examples

factor 121-81x^2 factor

121 - 81 x^{2}

simplify 5sqrt(20)-4sqrt(5)simplify

520 - 45

simplify (12km^3)/(-4m^3)simplify

\frac{12 k m ^{3}}{- 4 m ^{3}}

simplify sqrt(1/(x^2+4)+1)simplify

\frac{1}{x ^{2} + 4} + 1

simplify sqrt(21/4)simplify

\frac{21}{4}

Frequently Asked Questions (FAQ)

What is (2^{-2})^3 ?
The solution to (2^{-2})^3 is 1/64