Solve pi^0*3^-2*(-1/5)^-2/1^2

$$\frac { \pi ^ { 0 } \times 3 ^ { - 2 } \times ( - \frac { 1 } { 5 } ) ^ { - 2 } } { 1 ^ { 2 } }$$

Evaluate

$$\frac{25}{9}\approx 2.777777778$$

Solution Steps

Calculate \pi to the power of 0 and get 1.

$$\frac{1\times 3^{-2}\left(-\frac{1}{5}\right)^{-2}}{1^{2}}$$

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

$$\frac{1\times \frac{1}{9}\left(-\frac{1}{5}\right)^{-2}}{1^{2}}$$

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

$$\frac{\frac{1}{9}\left(-\frac{1}{5}\right)^{-2}}{1^{2}}$$

Calculate -\frac{1}{5} to the power of -2 and get 25.

$$\frac{\frac{1}{9}\times 25}{1^{2}}$$

Multiply \frac{1}{9} and 25 to get \frac{25}{9}.

$$\frac{\frac{25}{9}}{1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{\frac{25}{9}}{1}$$

Anything divided by one gives itself.

$$\frac{25}{9}$$

Factor

$$\frac{5 ^ {2}}{3 ^ {2}} = 2\frac{7}{9} = 2.7777777777777777$$