Basic Math Examples

${(2 c \div 3)}^{2}$

Step 1

Rewrite the division as a fraction.

${(\frac{2 c}{3})}^{2}$

Step 2

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

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Step 2.1

Apply the product rule to $\frac{2 c}{3}$ .

$\frac{{(2 c)}^{2}}{3^{2}}$

Step 2.2

Apply the product rule to $2 c$ .

$\frac{2^{2} c^{2}}{3^{2}}$

Step 3

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

$\frac{4 c^{2}}{3^{2}}$

Step 4

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

$\frac{4 c^{2}}{9}$