Select the equivalent expression. (x^(3))/(x*x^(2)) x^(4) (1)/(x^(4)) 1 x

Simplify Expression: Simplify the expression (x^(3))/(x*x^(2)). We have a fraction where the numerator is x raised to the power of 3, and the denominator is x multiplied by x raised to the power of 2. We can simplify this by using the properties of exponents.Apply Exponent Property: Apply the property of exponents that states when dividing like bases, we subtract the exponents. (x^(3))/(x*x^(2)) = (x^(3))/(x^(1+2)) = (x^(3))/(x^(3))Use Same Base Rule: When we have the same base in the numerator and denominator with the same exponent, the result is 1. (x^(3))/(x^(3)) = 1Check Correct Expression: Check the given options to see which one matches our simplified expression. The correct equivalent expression is 1.

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Select the equivalent expression.

(x^(3))/(x*x^(2))

x^(4)

(1)/(x^(4))
1

x

Select the equivalent expression. $\newline$ $\frac{x^{3}}{x \cdot x^{2}}$ $\newline$ $x^{4}$ $\newline$ $\frac{1}{x^{4}}$ $\newline$ $1$ $\newline$ $x$

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Math Problems

Algebra 1

Multiplication with rational exponents

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Q. Select the equivalent expression.

\newline

\frac{x^{3}}{x \cdot x^{2}}

\newline

x^{4}

\newline

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

\newline

1

\newline

x

Simplify Expression: Simplify the expression $(x^{3})/(x\cdot x^{2})$ . We have a fraction where the numerator is $x$ raised to the power of $3$ , and the denominator is $x$ multiplied by $x$ raised to the power of $2$ . We can simplify this by using the properties of exponents.
Apply Exponent Property: Apply the property of exponents that states when dividing like bases, we subtract the exponents. $\newline$ $(x^{3})/(x\cdot x^{2}) = (x^{3})/(x^{1+2}) = (x^{3})/(x^{3})$
Use Same Base Rule: When we have the same base in the numerator and denominator with the same exponent, the result is $1$ . $\frac{x^{3}}{x^{3}} = 1$
Check Correct Expression: Check the given options to see which one matches our simplified expression. $\newline$ The correct equivalent expression is $1$ .