Calculus Examples

$(8.66) - \frac{3}{75} \cdot {(8.66)}^{3}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $3$ and $75$ .

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Step 1.1.1

Factor $3$ out of $3$ .

$8.66 - \frac{3 (1)}{75} \cdot {(8.66)}^{3}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $3$ out of $75$ .

$8.66 - \frac{3 \cdot 1}{3 \cdot 25} \cdot {(8.66)}^{3}$

Step 1.1.2.2

Cancel the common factor.

$8.66 - \frac{3 \cdot 1}{3 \cdot 25} \cdot {(8.66)}^{3}$

Step 1.1.2.3

Rewrite the expression.

$8.66 - \frac{1}{25} \cdot {(8.66)}^{3}$

Step 1.2

Raise $8.66$ to the power of $3$ .

$8.66 - \frac{1}{25} \cdot 649.461896$

Step 1.3

Multiply $- \frac{1}{25} \cdot 649.461896$ .

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Step 1.3.1

Multiply $649.461896$ by $- 1$ .

$8.66 - 649.461896 (\frac{1}{25})$

Step 1.3.2

Combine $- 649.461896$ and $\frac{1}{25}$ .

$8.66 + \frac{- 649.461896}{25}$

Step 1.4

Divide $- 649.461896$ by $25$ .

$8.66 - 25.97847584$

Step 2

Subtract $25.97847584$ from $8.66$ .

$- 17.31847584$