Basic Math Examples

$y^{6} (y + 5 y)$

Step 1

Add $y$ and $5 y$ .

$y^{6} (6 y)$

Step 2

Rewrite using the commutative property of multiplication.

$6 y^{6} y$

Step 3

Multiply $y^{6}$ by $y$ by adding the exponents.

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Step 3.1

Move $y$ .

$6 (y \cdot y^{6})$

Step 3.2

Multiply $y$ by $y^{6}$ .

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Step 3.2.1

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

$6 (y^{1} y^{6})$

Step 3.2.2

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

$6 y^{1 + 6}$

Step 3.3

Add $1$ and $6$ .

$6 y^{7}$