Basic Math Examples

${(3 c^{3} \cdot c^{3})}^{2}$

Step 1

Multiply $c^{3}$ by $c^{3}$ by adding the exponents.

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Step 1.1

Move $c^{3}$ .

${(3 (c^{3} c^{3}))}^{2}$

Step 1.2

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

${(3 c^{3 + 3})}^{2}$

Step 1.3

Add $3$ and $3$ .

${(3 c^{6})}^{2}$

Step 2

Apply the product rule to $3 c^{6}$ .

$3^{2} {(c^{6})}^{2}$

Step 3

Raise $3$ to the power of $2$ .

$9 {(c^{6})}^{2}$

Step 4

Multiply the exponents in ${(c^{6})}^{2}$ .

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Step 4.1

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

$9 c^{6 \cdot 2}$

Step 4.2

Multiply $6$ by $2$ .

$9 c^{12}$