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Select the equivalent expression.

(x^(8)*x^(4))/(x^(8))

(1)/(x^(4))

(1)/(x^(3))

x^(3)

x^(4)

Select the equivalent expression. $\newline$ $\frac{x^{8} \cdot x^{4}}{x^{8}}$ $\newline$ $\frac{1}{x^{4}}$ $\newline$ $\frac{1}{x^{3}}$ $\newline$ $x^{3}$ $\newline$ $x^{4}$

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Multiplication with rational exponents

Full solution

Q. Select the equivalent expression.

\newline

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

\newline

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

\newline

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

\newline

x^{3}

\newline

x^{4}

Simplify Exponents: Simplify the expression $(x^{8}\cdot x^{4})/(x^{8})$ . When multiplying powers with the same base, add the exponents. $x^{8}\cdot x^{4} = x^{8+4} = x^{12}$ .
Multiply Like Bases: Now divide $x^{12}$ by $x^{8}$ . When dividing powers with the same base, subtract the exponents. $x^{12} / x^{8} = x^{12-8} = x^{4}$ .
Divide Like Bases: Check the given options to see which one matches the simplified expression $x^{4}$ . The correct option is $x^{4}$ .

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