en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4^{-8})/(4^{-4)}

Solution

simplify

\frac{4 ^{- 8}}{4 ^{- 4}}

Solution

\frac{1}{256}

+1

Decimal Notation

0.00390625

Solution steps

\frac{4 ^{- 8}}{4 ^{- 4}}

Apply exponent rule:

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

= 4^{- 8 - (- 4)}

Apply rule

- (- a) = a

= 4^{- 8 + 4}

Add/Subtract the numbers:

- 8 + 4 = - 4

= 4^{- 4}

Apply exponent rule:

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

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

4^{4} = 256

= \frac{1}{256}

Popular Examples

simplify-(2+sqrt(5))/(sqrt(2))simplify

- \frac{2 + 5}{2}

simplify z^{-5}simplify

z^{- 5}

simplify (9x^2+12x)/(-3x-4)simplify

\frac{9 x ^{2} + 12 x}{- 3 x - 4}

simplify 4^2-3n+8 simplify

4^{2} - 3 n + 8

factor 18bc^2-24b^2c factor

18 b c^{2} - 24 b^{2} c

Frequently Asked Questions (FAQ)

What is (4^{-8})/(4^{-4)} ?
The solution to (4^{-8})/(4^{-4)} is 1/256