Linear Algebra Examples

$\frac{1}{p^{- 8}}$

Step 1

Set the denominator in $\frac{1}{p^{- 8}}$ equal to $0$ to find where the expression is undefined.

$p^{- 8} = 0$

Step 2

Solve for $p$ .

Tap for more steps...

Step 2.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{p^{8}} = 0$

Step 2.2

Set the numerator equal to zero.

$1 = 0$

Step 2.3

Since $1 \neq 0$ , there are no solutions.

No solution

Step 3

Set the base in $p^{- 8}$ equal to $0$ to find where the expression is undefined.

$p = 0$

Step 4

The domain is all values of $p$ that make the expression defined.

Interval Notation:

$(- \infty, 0) \cup (0, \infty)$

Set-Builder Notation:

${p | p \neq 0}$

Step 5