Pre-Algebra Examples

${(y^{3} z^{2})}^{4}$

Step 1

Apply the product rule to $y^{3} z^{2}$ .

${(y^{3})}^{4} {(z^{2})}^{4}$

Step 2

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

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Step 2.1

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

$y^{3 \cdot 4} {(z^{2})}^{4}$

Step 2.2

Multiply $3$ by $4$ .

$y^{12} {(z^{2})}^{4}$

Step 3

Multiply the exponents in ${(z^{2})}^{4}$ .

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Step 3.1

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

$y^{12} z^{2 \cdot 4}$

Step 3.2

Multiply $2$ by $4$ .

$y^{12} z^{8}$