Basic Math Examples

${(3 y)}^{2} (y^{5})$

Step 1

Apply the product rule to $3 y$ .

$3^{2} y^{2} y^{5}$

Step 2

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

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Step 2.1

Move $y^{5}$ .

$3^{2} (y^{5} y^{2})$

Step 2.2

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

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

Step 2.3

Add $5$ and $2$ .

$3^{2} y^{7}$

Step 3

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

$9 y^{7}$