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Popular >

simplify (x^{-9})/(x^{-5)}

Solution

simplify

\frac{x ^{- 9}}{x ^{- 5}}

Solution

\frac{1}{x ^{4}}

Solution steps

\frac{x ^{- 9}}{x ^{- 5}}

Apply exponent rule:

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

= x^{- 9 - (- 5)}

Apply rule

- (- a) = a

= x^{- 9 + 5}

Add/Subtract the numbers:

- 9 + 5 = - 4

= x^{- 4}

Apply exponent rule:

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

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

Popular Examples

factor x^2-7x-60 factor

x^{2} - 7 x - 60

45= 1/2 (13)v^2

45 = \frac{1}{2} (13) v^{2}

x/2+20+2x-25/2 =90

\frac{x}{2} + 20 + 2 x - \frac{25}{2} = 90

simplify (-1+3)/2 simplify

\frac{- 1 + 3}{2}

(x+6)(x-2)(x-8)<= 0

(x + 6) (x - 2) (x - 8) \leq 0

Frequently Asked Questions (FAQ)

What is (x^{-9})/(x^{-5)} ?
The solution to (x^{-9})/(x^{-5)} is 1/(x^4)