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Popular >

simplify ,(x^3)(x^{-5})

Solution

simplify

(x^{3}) (x^{- 5})

Solution

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

Solution steps

(x^{3}) (x^{- 5})

Simplify

(x^{3}) (x^{- 5}) : x^{3} x^{- 5}

= x^{3} x^{- 5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{3} x^{- 5} = x^{3 - 5}

= x^{3 - 5}

Subtract the numbers:

3 - 5 = - 2

= x^{- 2}

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

What is ,(x^3)(x^{-5}) ?
The solution to ,(x^3)(x^{-5}) is 1/(x^2)