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

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

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

$9 y^{5} = 0$

Solve for $y$ .

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Divide each term by $9$ and simplify.

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

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

Cancel the common factor of $9$ .

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Cancel the common factor.

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

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

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

Divide $0$ by $9$ .

$y^{5} = 0$

Take the 5th root of both sides of the equation to eliminate the exponent on the left side.

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

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

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

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

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

$y = 0$

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$y = 0$

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

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