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Popular >

simplify (5^{-6})/(5^{-4)}

Solution

simplify

\frac{5 ^{- 6}}{5 ^{- 4}}

Solution

\frac{1}{25}

+1

Decimal Notation

0.04

Solution steps

\frac{5 ^{- 6}}{5 ^{- 4}}

Apply exponent rule:

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

= 5^{- 6 - (- 4)}

Apply rule

- (- a) = a

= 5^{- 6 + 4}

Add/Subtract the numbers:

- 6 + 4 = - 2

= 5^{- 2}

Apply exponent rule:

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

= \frac{1}{5 ^{2}}

5^{2} = 25

= \frac{1}{25}

Popular Examples

- 6 < 2 - 2 x \leq 14

2 W^{2} + 3 W - 77 = 0

simplify 1(1/3)simplify

1 (\frac{1}{3})

25 x^{2} + 16 < 40 x

\frac{x}{3} - 3 = - 12

Frequently Asked Questions (FAQ)

What is (5^{-6})/(5^{-4)} ?
The solution to (5^{-6})/(5^{-4)} is 1/25