Pre-Algebra Examples

${(2 z^{5})}^{2}$

Step 1

Apply the product rule to $2 z^{5}$ .

$2^{2} {(z^{5})}^{2}$

Step 2

Raise $2$ to the power of $2$ .

$4 {(z^{5})}^{2}$

Step 3

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

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Step 3.1

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

$4 z^{5 \cdot 2}$

Step 3.2

Multiply $5$ by $2$ .

$4 z^{10}$