Simplify x3/4*x5/3

$x \frac{3}{4} \cdot x \frac{5}{3}$

Step 1

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$x \cdot x \frac{3}{4} \cdot \frac{5}{3}$

Multiply $x$ by $x$ .

$x^{2} \frac{3}{4} \cdot \frac{5}{3}$

$x^{2} \frac{3}{4} \cdot \frac{5}{3}$

Step 2

Combine $x^{2}$ and $\frac{3}{4}$ .

$\frac{x^{2} \cdot 3}{4} \cdot \frac{5}{3}$

Step 3

Combine.

$\frac{x^{2} \cdot 3 \cdot 5}{4 \cdot 3}$

Step 4

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{x^{2} \cdot 3 \cdot 5}{4 \cdot 3}$

Rewrite the expression.

$\frac{x^{2} \cdot 5}{4}$

$\frac{x^{2} \cdot 5}{4}$

Step 5

Move $5$ to the left of $x^{2}$ .

$\frac{5 x^{2}}{4}$

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