Pre-Algebra Examples

${(4 n^{3} \cdot n^{2})}^{2}$

Step 1

Multiply $n^{3}$ by $n^{2}$ by adding the exponents.

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Step 1.1

Move $n^{2}$ .

${(4 (n^{2} n^{3}))}^{2}$

Step 1.2

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

${(4 n^{2 + 3})}^{2}$

Step 1.3

Add $2$ and $3$ .

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

Step 2

Apply the product rule to $4 n^{5}$ .

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

Step 3

Raise $4$ to the power of $2$ .

$16 {(n^{5})}^{2}$

Step 4

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

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Step 4.1

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

$16 n^{5 \cdot 2}$

Step 4.2

Multiply $5$ by $2$ .

$16 n^{10}$