Pre-Algebra Examples

$x^{4} \cdot {(x^{4})}^{3}$

Step 1

Multiply the exponents in ${(x^{4})}^{3}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{4} \cdot x^{4 \cdot 3}$

Step 1.2

Multiply $4$ by $3$ .

$x^{4} \cdot x^{12}$

Step 2

Multiply $x^{4}$ by $x^{12}$ by adding the exponents.

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Step 2.1

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

$x^{4 + 12}$

Step 2.2

Add $4$ and $12$ .

$x^{16}$