Basic Math Examples

${(6 \div z^{4})}^{3}$

Step 1

Rewrite the division as a fraction.

${(\frac{6}{z^{4}})}^{3}$

Step 2

Apply the product rule to $\frac{6}{z^{4}}$ .

$\frac{6^{3}}{{(z^{4})}^{3}}$

Step 3

Raise $6$ to the power of $3$ .

$\frac{216}{{(z^{4})}^{3}}$

Step 4

Multiply the exponents in ${(z^{4})}^{3}$ .

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Step 4.1

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

$\frac{216}{z^{4 \cdot 3}}$

Step 4.2

Multiply $4$ by $3$ .

$\frac{216}{z^{12}}$