Basic Math Examples

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

Step 1

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

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Step 1.1

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

$a^{2 \cdot 2} {(a^{4})}^{4}$

Step 1.2

Multiply $2$ by $2$ .

$a^{4} {(a^{4})}^{4}$

Step 2

Multiply the exponents in ${(a^{4})}^{4}$ .

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Step 2.1

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

$a^{4} a^{4 \cdot 4}$

Step 2.2

Multiply $4$ by $4$ .

$a^{4} a^{16}$

Step 3

Multiply $a^{4}$ by $a^{16}$ by adding the exponents.

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Step 3.1

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

$a^{4 + 16}$

Step 3.2

Add $4$ and $16$ .

$a^{20}$