Pre-Algebra Examples

$5 {(5 b)}^{2} + 2$

Step 1

Apply the product rule to $5 b$ .

$5 (5^{2} b^{2}) + 2$

Step 2

Multiply $5$ by $5^{2}$ by adding the exponents.

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Step 2.1

Move $5^{2}$ .

$5^{2} \cdot 5 b^{2} + 2$

Step 2.2

Multiply $5^{2}$ by $5$ .

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Step 2.2.1

Raise $5$ to the power of $1$ .

$5^{2} \cdot 5^{1} b^{2} + 2$

Step 2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$5^{2 + 1} b^{2} + 2$

Step 2.3

Add $2$ and $1$ .

$5^{3} b^{2} + 2$

Step 3

Raise $5$ to the power of $3$ .

$125 b^{2} + 2$