Basic Math Examples

$\frac{{(- y)}^{12}}{{(- y)}^{9}}$

Step 1

Cancel the common factor of ${(- y)}^{12}$ and ${(- y)}^{9}$ .

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Step 1.1

Factor ${(- y)}^{9}$ out of ${(- y)}^{12}$ .

$\frac{{(- y)}^{9} {(- y)}^{3}}{{(- y)}^{9}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Multiply by $1$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

$\frac{{(- y)}^{3}}{1}$

Step 1.2.4

Divide ${(- y)}^{3}$ by $1$ .

${(- y)}^{3}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to $- y$ .

${(- 1)}^{3} y^{3}$

Step 2.2

Raise $- 1$ to the power of $3$ .

$- y^{3}$