en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3^{-8})/(3^{-4)}

Solution

simplify

\frac{3 ^{- 8}}{3 ^{- 4}}

Solution

\frac{1}{81}

+1

Decimal Notation

0.01234 \dots

Solution steps

\frac{3 ^{- 8}}{3 ^{- 4}}

Apply exponent rule:

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

= 3^{- 8 - (- 4)}

Apply rule

- (- a) = a

= 3^{- 8 + 4}

Add/Subtract the numbers:

- 8 + 4 = - 4

= 3^{- 4}

Apply exponent rule:

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

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

3^{4} = 81

= \frac{1}{81}

Popular Examples

6 k^{2} + 2 k + 9 = - 3

x^{2} - 4 x = 52

- 4 u < - 16

((x-1))/((x+2)(x+5))<= 0

\frac{( x - 1 )}{( x + 2 ) ( x + 5 )} \leq 0

(5-3x)-(-4x+6)=(8x+1)-3(2x+3)

(5 - 3 x) - (- 4 x + 6) = (8 x + 1) - 3 (2 x + 3)

Frequently Asked Questions (FAQ)

What is (3^{-8})/(3^{-4)} ?
The solution to (3^{-8})/(3^{-4)} is 1/81