Algebra Examples

$\frac{7 x}{9} \cdot \frac{x^{3}}{7}$

Step 1

Combine.

$\frac{7 x \cdot x^{3}}{9 \cdot 7}$

Step 2

Multiply $x$ by $x^{3}$ by adding the exponents.

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Step 2.1

Move $x^{3}$ .

$\frac{7 (x^{3} x)}{9 \cdot 7}$

Step 2.2

Multiply $x^{3}$ by $x$ .

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Step 2.2.1

Raise $x$ to the power of $1$ .

$\frac{7 (x^{3} x^{1})}{9 \cdot 7}$

Step 2.2.2

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

$\frac{7 x^{3 + 1}}{9 \cdot 7}$

Step 2.3

Add $3$ and $1$ .

$\frac{7 x^{4}}{9 \cdot 7}$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Cancel the common factor.

$\frac{7 x^{4}}{9 \cdot 7}$

Step 3.2

Rewrite the expression.

$\frac{x^{4}}{9}$