Pre-Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Multiply $4$ by $3$ .

$x^{12} {(x^{5})}^{2}$

Step 2

Multiply the exponents in ${(x^{5})}^{2}$ .

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Step 2.1

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

$x^{12} x^{5 \cdot 2}$

Step 2.2

Multiply $5$ by $2$ .

$x^{12} x^{10}$

Step 3

Multiply $x^{12}$ by $x^{10}$ by adding the exponents.

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Step 3.1

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

$x^{12 + 10}$

Step 3.2

Add $12$ and $10$ .

$x^{22}$