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Select the equivalent expression.

(x^(6))/(x^(4)*x^(8))

(1)/(x^(18))

x^(6)

(1)/(x^(6))

x^(18)

Select the equivalent expression. $\newline$ $\frac{x^{6}}{x^{4} \cdot x^{8}}$ $\newline$ $\frac{1}{x^{18}}$ $\newline$ $x^{6}$ $\newline$ $\frac{1}{x^{6}}$ $\newline$ $x^{18}$

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Multiplication with rational exponents

Full solution

Q. Select the equivalent expression.

\newline

\frac{x^{6}}{x^{4} \cdot x^{8}}

\newline

\frac{1}{x^{18}}

\newline

x^{6}

\newline

\frac{1}{x^{6}}

\newline

x^{18}

Simplify Expression: Simplify the expression using the properties of exponents. $\newline$ When dividing powers with the same base, subtract the exponents. $\newline$ $\frac{x^{6}}{x^{4}\cdot x^{8}} = x^{6-4-8}$
Perform Exponent Subtraction: Perform the subtraction of the exponents. $x^{(6-4-8)} = x^{(2-8)} = x^{-6}$
Convert Negative Exponent: Convert the negative exponent to a positive exponent in the denominator. $x^{-6}$ is equivalent to $(1)/(x^{6})$

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