Algebra Examples

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

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

Multiply $x^{2}$ by $x^{5}$ by adding the exponents.

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Step 2.1

Move $x^{5}$ .

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

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 2.3

Add $5$ and $2$ .

$\frac{3}{4} \cdot \frac{4}{5} x^{7}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Cancel the common factor.

$\frac{3}{4} \cdot \frac{4}{5} x^{7}$

Step 3.2

Rewrite the expression.

$3 \cdot \frac{1}{5} x^{7}$

Step 4

Combine $3$ and $\frac{1}{5}$ .

$\frac{3}{5} x^{7}$

Step 5

Combine $\frac{3}{5}$ and $x^{7}$ .

$\frac{3 x^{7}}{5}$