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Popular >

simplify (8^{-5})/(8^{-4)}

Solution

simplify

\frac{8 ^{- 5}}{8 ^{- 4}}

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

\frac{8 ^{- 5}}{8 ^{- 4}}

Apply exponent rule:

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

= 8^{- 5 - (- 4)}

Apply rule

- (- a) = a

= 8^{- 5 + 4}

Add/Subtract the numbers:

- 5 + 4 = - 1

= 8^{- 1}

Apply exponent rule:

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

= \frac{1}{8}

Popular Examples

factor (15x^2-17x-4)/(3x^2-13x+12)factor

\frac{15 x ^{2} - 17 x - 4}{3 x ^{2} - 13 x + 12}

simplify sqrt(648)simplify

648

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

\frac{5 + i}{2 - i}

- \frac{5}{4} x = 15

3 x^{2} - 11 x - 4 \leq 0

Frequently Asked Questions (FAQ)

What is (8^{-5})/(8^{-4)} ?
The solution to (8^{-5})/(8^{-4)} is 1/8