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Popular >

simplify (x^4)^2*x^{-3}

Solution

simplify

(x^{4})^{2} \cdot x^{- 3}

Solution

x^{5}

Solution steps

(x^{4})^{2} x^{- 3}

Simplify

(x^{4})^{2} : x^{8}

= x^{8} x^{- 3}

Apply exponent rule:

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

x^{- 3} = \frac{1}{x ^{3}}

= x^{8} \frac{1}{x ^{3}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{8} \cdot 1}{x ^{3}}

Apply rule:

a \cdot 1 = a

x^{8} \cdot 1 = x^{8}

= \frac{x ^{8}}{x ^{3}}

Simplify

\frac{x ^{8}}{x ^{3}} : x^{5}

= x^{5}

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Frequently Asked Questions (FAQ)

What is (x^4)^2*x^{-3} ?
The solution to (x^4)^2*x^{-3} is x^5