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Popular >

simplify (5^{-6})/(5^{-2)}

Solution

simplify

\frac{5 ^{- 6}}{5 ^{- 2}}

Solution

\frac{1}{625}

+1

Decimal Notation

0.0016

Solution steps

\frac{5 ^{- 6}}{5 ^{- 2}}

Apply exponent rule:

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

= 5^{- 6 - (- 2)}

Apply rule

- (- a) = a

= 5^{- 6 + 2}

Add/Subtract the numbers:

- 6 + 2 = - 4

= 5^{- 4}

Apply exponent rule:

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

= \frac{1}{5 ^{4}}

5^{4} = 625

= \frac{1}{625}

Popular Examples

x^{(\frac{3}{2})}

3 (3 w - 6) = 18

factor x^2+2xn+n^2 factor

x^{2} + 2 x n + n^{2}

∣ 6 - 2 a ∣ = ∣ 8 - 2 a ∣

∣ x + 6 ∣ + 8 = 3

Frequently Asked Questions (FAQ)

What is (5^{-6})/(5^{-2)} ?
The solution to (5^{-6})/(5^{-2)} is 1/625