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Popular >

simplify x^{11}*(x^4)^{-3}

Solution

simplify

x^{11} \cdot (x^{4})^{- 3}

Solution

\frac{1}{x}

Solution steps

x^{11} (x^{4})^{- 3}

Simplify

(x^{4})^{- 3} : \frac{1}{x ^{12}}

= x^{11} \frac{1}{x ^{12}}

Apply the fraction rule:

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

= \frac{x ^{11} \cdot 1}{x ^{12}}

Apply rule:

a \cdot 1 = a

x^{11} \cdot 1 = x^{11}

= \frac{x ^{11}}{x ^{12}}

Simplify

\frac{x ^{11}}{x ^{12}} : \frac{1}{x}

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

What is x^{11}*(x^4)^{-3} ?
The solution to x^{11}*(x^4)^{-3} is 1/x