Algebra Examples

$\frac{8 x^{2}}{3} \cdot \frac{8 x^{2}}{9}$

Step 1

Combine.

$\frac{8 x^{2} (8 x^{2})}{3 \cdot 9}$

Step 2

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

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Step 2.1

Move $x^{2}$ .

$\frac{8 (x^{2} x^{2}) \cdot 8}{3 \cdot 9}$

Step 2.2

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

$\frac{8 x^{2 + 2} \cdot 8}{3 \cdot 9}$

Step 2.3

Add $2$ and $2$ .

$\frac{8 x^{4} \cdot 8}{3 \cdot 9}$

Step 3

Multiply $8$ by $8$ .

$\frac{64 x^{4}}{3 \cdot 9}$

Step 4

Multiply $3$ by $9$ .

$\frac{64 x^{4}}{27}$