Pre-Algebra Examples

$C = 4 ({23.245}^{- \frac{1}{3}}) (13.5)$

Step 1

Simplify $4 ({23.245}^{- \frac{1}{3}}) (13.5)$ .

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Step 1.1

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

$C = 4 \frac{1}{{23.245}^{\frac{1}{3}}} \cdot 13.5$

Step 1.2

Raise $23.245$ to the power of $\frac{1}{3}$ .

$C = 4 (\frac{1}{2.85392912}) \cdot 13.5$

Step 1.3

Divide $1$ by $2.85392912$ .

$C = 4 \cdot 0.35039412 \cdot 13.5$

Step 1.4

Multiply $4 \cdot 0.35039412 \cdot 13.5$ .

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Step 1.4.1

Multiply $4$ by $0.35039412$ .

$C = 1.4015765 \cdot 13.5$

Step 1.4.2

Multiply $1.4015765$ by $13.5$ .

$C = 18.92128277$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$C \approx 18.92128278$

Step 3