Basic Math Examples

$\frac{{(3 a^{6} b^{8})}^{2}}{c^{6}}$

Step 1

Apply the product rule to $3 a^{6} b^{8}$ .

$\frac{{(3 a^{6})}^{2} {(b^{8})}^{2}}{c^{6}}$

Step 2

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

$\frac{3^{2} {(a^{6})}^{2} {(b^{8})}^{2}}{c^{6}}$

Step 3

Raise $3$ to the power of $2$ .

$\frac{9 {(a^{6})}^{2} {(b^{8})}^{2}}{c^{6}}$

Step 4

Multiply the exponents in ${(a^{6})}^{2}$ .

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Step 4.1

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

$\frac{9 a^{6 \cdot 2} {(b^{8})}^{2}}{c^{6}}$

Step 4.2

Multiply $6$ by $2$ .

$\frac{9 a^{12} {(b^{8})}^{2}}{c^{6}}$

Step 5

Multiply the exponents in ${(b^{8})}^{2}$ .

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Step 5.1

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

$\frac{9 a^{12} b^{8 \cdot 2}}{c^{6}}$

Step 5.2

Multiply $8$ by $2$ .

$\frac{9 a^{12} b^{16}}{c^{6}}$