Basic Math Examples

$(- \frac{1}{9} y^{8}) \cdot (\frac{1}{4} y^{3})$

Step 1

Rewrite using the commutative property of multiplication.

$- \frac{1}{9} \cdot \frac{1}{4} y^{8} y^{3}$

Step 2

Multiply $y^{8}$ by $y^{3}$ by adding the exponents.

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Step 2.1

Move $y^{3}$ .

$- \frac{1}{9} \cdot \frac{1}{4} (y^{3} y^{8})$

Step 2.2

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

$- \frac{1}{9} \cdot \frac{1}{4} y^{3 + 8}$

Step 2.3

Add $3$ and $8$ .

$- \frac{1}{9} \cdot \frac{1}{4} y^{11}$

Step 3

Multiply $- \frac{1}{9} \cdot \frac{1}{4}$ .

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Step 3.1

Multiply $\frac{1}{4}$ by $\frac{1}{9}$ .

$- \frac{1}{4 \cdot 9} y^{11}$

Step 3.2

Multiply $4$ by $9$ .

$- \frac{1}{36} y^{11}$

Step 4

Combine $y^{11}$ and $\frac{1}{36}$ .

$- \frac{y^{11}}{36}$