Finite Math Examples

$\frac{1}{3 x^{- 4}} + \frac{0.1 x^{- 2}}{3}$

Step 1

Set the denominator in $\frac{1}{3 x^{- 4}}$ equal to $0$ to find where the expression is undefined.

$3 x^{- 4} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify $3 x^{- 4}$ .

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Step 2.1.1

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

$3 \frac{1}{x^{4}} = 0$

Step 2.1.2

Combine $3$ and $\frac{1}{x^{4}}$ .

$\frac{3}{x^{4}} = 0$

Step 2.2

Set the numerator equal to zero.

$3 = 0$

Step 2.3

Since $3 \neq 0$ , there are no solutions.

No solution

Step 3

Set the base in $x^{- 4}$ equal to $0$ to find where the expression is undefined.

$x = 0$

Step 4