Algebra Examples

$3 x \frac{1}{3} (8 x^{2})$

Step 1

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

$x \frac{3}{3} (8 x^{2})$

Step 2

Combine $x$ and $\frac{3}{3}$ .

$\frac{x \cdot 3}{3} (8 x^{2})$

Step 3

Combine $8$ and $\frac{x \cdot 3}{3}$ .

$\frac{8 (x \cdot 3)}{3} x^{2}$

Step 4

Multiply $3$ by $8$ .

$\frac{24 x}{3} x^{2}$

Step 5

Combine $\frac{24 x}{3}$ and $x^{2}$ .

$\frac{24 x \cdot x^{2}}{3}$

Step 6

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

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Step 6.1

Move $x^{2}$ .

$\frac{24 (x^{2} x)}{3}$

Step 6.2

Multiply $x^{2}$ by $x$ .

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Step 6.2.1

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

$\frac{24 (x^{2} x^{1})}{3}$

Step 6.2.2

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

$\frac{24 x^{2 + 1}}{3}$

Step 6.3

Add $2$ and $1$ .

$\frac{24 x^{3}}{3}$