Finite Math Examples

$P (x) = 37 {(5)}^{\frac{- 18}{6}}$

Step 1

Set $37 {(5)}^{\frac{- 18}{6}}$ equal to $0$ .

$37 {(5)}^{\frac{- 18}{6}} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify $37 \cdot 5^{\frac{- 18}{6}}$ .

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Step 2.1.1

Divide $- 18$ by $6$ .

$37 \cdot 5^{- 3} = 0$

Step 2.1.2

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

$37 \cdot \frac{1}{5^{3}} = 0$

Step 2.1.3

Raise $5$ to the power of $3$ .

$37 \cdot \frac{1}{125} = 0$

Step 2.1.4

Combine $37$ and $\frac{1}{125}$ .

$\frac{37}{125} = 0$

Step 2.2

Since $\frac{37}{125} \neq 0$ , there are no solutions.

No solution