Basic Math Examples

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

Step 1

Apply the product rule to $a^{7} b^{2}$ .

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

Step 2

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

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Step 2.1

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

$a^{7 \cdot 3} {(b^{2})}^{3}$

Step 2.2

Multiply $7$ by $3$ .

$a^{21} {(b^{2})}^{3}$

Step 3

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

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Step 3.1

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

$a^{21} b^{2 \cdot 3}$

Step 3.2

Multiply $2$ by $3$ .

$a^{21} b^{6}$