Simplify the expression 8x^10(2x^4)^(-2)

 Exercise

8x^{10}\left(2x^4\right)^{-2}

 

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$ , where $n$ is a number

x^{10}\frac{8}{\left(2x^4\right)^{2}}

 

The power of a product is equal to the product of it's factors raised to the same power

x^{10}\frac{8}{4x^{8}}

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Cancel the fraction's common factor $4$

x^{10}\frac{2}{x^{8}}

 

Multiply the fraction by the term

\frac{2x^{10}}{x^{8}}

 

Simplify the fraction $\frac{2x^{10}}{x^{8}}$ by $x$

2x^{2}

2x^{2}

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