Simplify ((x^4)/(x^3))^(5/2)

${(\frac{x^{4}}{x^{3}})}^{\frac{5}{2}}$

Step 1

Factor $x^{3}$ out of $x^{4}$ .

${(\frac{x^{3} x}{x^{3}})}^{\frac{5}{2}}$

Step 2

Cancel the common factors.

Multiply by $1$ .

${(\frac{x^{3} x}{x^{3} \cdot 1})}^{\frac{5}{2}}$

Cancel the common factor.

${(\frac{x^{3} x}{x^{3} \cdot 1})}^{\frac{5}{2}}$

Rewrite the expression.

${(\frac{x}{1})}^{\frac{5}{2}}$

Divide $x$ by $1$ .

$x^{\frac{5}{2}}$

$x^{\frac{5}{2}}$

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