Basic Math Examples

${(6 y^{3} z^{4})}^{8}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 1.1

Apply the product rule to $6 y^{3} z^{4}$ .

${(6 y^{3})}^{8} {(z^{4})}^{8}$

Step 1.2

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

$6^{8} {(y^{3})}^{8} {(z^{4})}^{8}$

Step 2

Raise $6$ to the power of $8$ .

$1679616 {(y^{3})}^{8} {(z^{4})}^{8}$

Step 3

Multiply the exponents in ${(y^{3})}^{8}$ .

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Step 3.1

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

$1679616 y^{3 \cdot 8} {(z^{4})}^{8}$

Step 3.2

Multiply $3$ by $8$ .

$1679616 y^{24} {(z^{4})}^{8}$

Step 4

Multiply the exponents in ${(z^{4})}^{8}$ .

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Step 4.1

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

$1679616 y^{24} z^{4 \cdot 8}$

Step 4.2

Multiply $4$ by $8$ .

$1679616 y^{24} z^{32}$