Basic Math Examples

${(\frac{- 2 y^{2}}{y})}^{6}$

Step 1

Cancel the common factor of $y^{2}$ and $y$ .

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Step 1.1

Factor $y$ out of $- 2 y^{2}$ .

${(\frac{y (- 2 y)}{y})}^{6}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

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

${(\frac{y (- 2 y)}{y^{1}})}^{6}$

Step 1.2.2

Factor $y$ out of $y^{1}$ .

${(\frac{y (- 2 y)}{y \cdot 1})}^{6}$

Step 1.2.3

Cancel the common factor.

${(\frac{y (- 2 y)}{y \cdot 1})}^{6}$

Step 1.2.4

Rewrite the expression.

${(\frac{- 2 y}{1})}^{6}$

Step 1.2.5

Divide $- 2 y$ by $1$ .

${(- 2 y)}^{6}$

${(- 2 y)}^{6}$

${(- 2 y)}^{6}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to $- 2 y$ .

${(- 2)}^{6} y^{6}$

Step 2.2

Raise $- 2$ to the power of $6$ .

$64 y^{6}$

$64 y^{6}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$