Solve frac{pi{left({left(1*27right)}^-frac{1{3}}right)}^21/3360}{360}

$$\frac{ \pi { \left( { \left(1 \cdot 27 \right) }^{ - \frac{ 1 }{ 3 } } \right) }^{ 2 } \frac{ 1 }{ 3 } 360 }{ 360 }$$

Evaluate

$$\frac{\pi }{27}\approx 0.116355283$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -\frac{1}{3} and 2 to get -\frac{2}{3}.

$$\frac{\pi \times \left(1\times 27\right)^{-\frac{2}{3}}\times \frac{1}{3}\times 360}{360}$$

Cancel out 360 and 360.

$$\pi \times 27^{-\frac{2}{3}}\times \frac{1}{3}$$

Calculate 27 to the power of -\frac{2}{3} and get \frac{1}{9}.

$$\pi \times \frac{1}{9}\times \frac{1}{3}$$

Multiply \frac{1}{9} and \frac{1}{3} to get \frac{1}{27}.

$$\pi \times \frac{1}{27}$$