Pre-Algebra Examples

${(\frac{5}{3 b})}^{2}$

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 $\frac{5}{3 b}$ .

$\frac{5^{2}}{{(3 b)}^{2}}$

Step 1.2

Apply the product rule to $3 b$ .

$\frac{5^{2}}{3^{2} b^{2}}$

Step 2

Raise $5$ to the power of $2$ .

$\frac{25}{3^{2} b^{2}}$

Step 3

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

$\frac{25}{9 b^{2}}$