Find Where Undefined/Discontinuous 2/(9y^5)*(15y^5)/8

$\frac{2}{9 y^{5}} \cdot \frac{15 y^{5}}{8}$

Step 1

Set the denominator in $\frac{2}{9 y^{5}}$ equal to $0$ to find where the expression is undefined.

$9 y^{5} = 0$

Step 2

Solve for $y$ .

Divide each term in $9 y^{5} = 0$ by $9$ and simplify.

Divide each term in $9 y^{5} = 0$ by $9$ .

$\frac{9 y^{5}}{9} = \frac{0}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y^{5}}{9} = \frac{0}{9}$

Divide $y^{5}$ by $1$ .

$y^{5} = \frac{0}{9}$

Simplify the right side.

Divide $0$ by $9$ .

$y^{5} = 0$

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$y = \sqrt[5]{0}$

Simplify $\sqrt[5]{0}$ .

Rewrite $0$ as $0^{5}$ .

$y = \sqrt[5]{0^{5}}$

Pull terms out from under the radical, assuming real numbers.

$y = 0$

Step 3