Basic Math Examples

${(7^{- 2} \cdot 7^{4})}^{3}$

Step 1

Multiply $7^{- 2}$ by $7^{4}$ 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.

${(7^{- 2 + 4})}^{3}$

Step 1.2

Add $- 2$ and $4$ .

${(7^{2})}^{3}$

Step 2

Multiply the exponents in ${(7^{2})}^{3}$ .

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Step 2.1

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

$7^{2 \cdot 3}$

Step 2.2

Multiply $2$ by $3$ .

$7^{6}$

Step 3

Raise $7$ to the power of $6$ .

$117649$