en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4^2)^{-2}

Solution

simplify

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

Solution

\frac{1}{256}

+1

Decimal Notation

0.00390625

Solution steps

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

Apply exponent rule:

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

= 4^{2 (- 2)}

2 (- 2) = - 4

= 4^{- 4}

Apply exponent rule:

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

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

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

4^{4} = 256

= \frac{1}{256}

Popular Examples

factor b^3-64a^3 factor

b^{3} - 64 a^{3}

simplify (-2x^2)^2 simplify

(- 2 x^{2})^{2}

simplify 1/4+4/5 simplify

\frac{1}{4} + \frac{4}{5}

simplify 4*26 simplify

4 \cdot 26

simplify 9-(-2)simplify

9 - (- 2)

Frequently Asked Questions (FAQ)

What is (4^2)^{-2} ?
The solution to (4^2)^{-2} is 1/256