Solve f+12left(-1/3right)-{left(1/3^3right)}^3

$$f+12 \left( - \frac{ 1 }{ 3 } \right) - { \left( \frac{ 1 }{ { 3 }^{ 3 } } \right) }^{ 3 }$$

Evaluate

$$f = -\frac{78733}{19683} = -4\frac{1}{19683} = -4.000050805263426$$

Solution Steps

Multiply 12 and -\frac{1}{3} to get -4.

$$f-4-\left(\frac{1}{3^{3}}\right)^{3}$$

Calculate 3 to the power of 3 and get 27.

$$f-4-\left(\frac{1}{27}\right)^{3}$$

Calculate \frac{1}{27} to the power of 3 and get \frac{1}{19683}.

$$f-4-\frac{1}{19683}$$

Subtract \frac{1}{19683} from -4 to get -\frac{78733}{19683}.

$$f-\frac{78733}{19683}$$

Factor

$$\frac{19683f-78733}{19683}$$

Solution Steps

Multiply 12 and -\frac{1}{3} to get -4.

$$factor(f-4-\left(\frac{1}{3^{3}}\right)^{3})$$

Calculate 3 to the power of 3 and get 27.

$$factor(f-4-\left(\frac{1}{27}\right)^{3})$$

Calculate \frac{1}{27} to the power of 3 and get \frac{1}{19683}.

$$factor(f-4-\frac{1}{19683})$$

Subtract \frac{1}{19683} from -4 to get -\frac{78733}{19683}.

$$factor(f-\frac{78733}{19683})$$

Factor out \frac{1}{19683}.

$$\frac{19683f-78733}{19683}$$