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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x ^{2}}

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

= x^{- 6 + 4}

Add/Subtract the numbers:

- 6 + 4 = - 2

= x^{- 2}

Apply exponent rule:

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

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

Popular Examples

0 = x^{2} - 41 x + 238

simplify (-9xy^5z^3)/(36xy^4z^5)simplify

\frac{- 9 x y ^{5} z ^{3}}{36 x y ^{4} z ^{5}}

5 x (8 - x) = 10

\frac{x}{3} \leq x + 2

simplify (1/2)^{2/3}simplify

(\frac{1}{2})^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is (x^{-6})/(x^{-4)} ?
The solution to (x^{-6})/(x^{-4)} is 1/(x^2)