Basic Math Examples

${(\frac{(8) (1.25)}{{(- 7)}^{3} + 3^{2} - f - \sqrt[3]{- 27}})}^{3}$

Step 1

Multiply $8$ by $1.25$ .

${(\frac{10}{{(- 7)}^{3} + 3^{2} - f - \sqrt[3]{- 27}})}^{3}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $- 7$ to the power of $3$ .

${(\frac{10}{- 343 + 3^{2} - f - \sqrt[3]{- 27}})}^{3}$

Step 2.2

Raise $3$ to the power of $2$ .

${(\frac{10}{- 343 + 9 - f - \sqrt[3]{- 27}})}^{3}$

Step 2.3

Rewrite $- 27$ as ${(- 3)}^{3}$ .

${(\frac{10}{- 343 + 9 - f - \sqrt[3]{{(- 3)}^{3}}})}^{3}$

Step 2.4

Pull terms out from under the radical, assuming real numbers.

${(\frac{10}{- 343 + 9 - f - - 3})}^{3}$

Step 2.5

Multiply $- 1$ by $- 3$ .

${(\frac{10}{- 343 + 9 - f + 3})}^{3}$

Step 2.6

Add $- 343$ and $9$ .

${(\frac{10}{- 334 - f + 3})}^{3}$

Step 2.7

Add $- 334$ and $3$ .

${(\frac{10}{- f - 331})}^{3}$

Step 3

Simplify the expression.

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Step 3.1

Apply the product rule to $\frac{10}{- f - 331}$ .

$\frac{10^{3}}{{(- f - 331)}^{3}}$

Step 3.2

Raise $10$ to the power of $3$ .

$\frac{1000}{{(- f - 331)}^{3}}$