Basic Math Examples

${(y^{3} z^{6})}^{7}$

Step 1

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

${(y^{3})}^{7} {(z^{6})}^{7}$

Step 2

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

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Step 2.1

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

$y^{3 \cdot 7} {(z^{6})}^{7}$

Step 2.2

Multiply $3$ by $7$ .

$y^{21} {(z^{6})}^{7}$

Step 3

Multiply the exponents in ${(z^{6})}^{7}$ .

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Step 3.1

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

$y^{21} z^{6 \cdot 7}$

Step 3.2

Multiply $6$ by $7$ .

$y^{21} z^{42}$