Basic Math Examples

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

Step 1

Multiply ${(2 c)}^{6}$ by ${(2 c)}^{- 2}$ by adding the exponents.

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Step 1.1

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

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

Step 1.2

Subtract $2$ from $6$ .

${(2 c)}^{4}$

Step 2

Apply the product rule to $2 c$ .

$2^{4} c^{4}$

Step 3

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

$16 c^{4}$