Solve (-15)^-4*(25)^2*(3/5)^2*27

$$( - 15 ) ^ { - 4 } \times ( 25 ) ^ { 2 } \times ( \frac { 3 } { 5 } ) ^ { 2 } \times 27$$

Evaluate

$$\frac{3}{25}=0.12$$

Solution Steps

Calculate -15 to the power of -4 and get \frac{1}{50625}.

$$\frac{1}{50625}\times 25^{2}\times \left(\frac{3}{5}\right)^{2}\times 27$$

Calculate 25 to the power of 2 and get 625.

$$\frac{1}{50625}\times 625\times \left(\frac{3}{5}\right)^{2}\times 27$$

Multiply \frac{1}{50625} and 625 to get \frac{1}{81}.

$$\frac{1}{81}\times \left(\frac{3}{5}\right)^{2}\times 27$$

Calculate \frac{3}{5} to the power of 2 and get \frac{9}{25}.

$$\frac{1}{81}\times \frac{9}{25}\times 27$$

Multiply \frac{1}{81} and \frac{9}{25} to get \frac{1}{225}.

$$\frac{1}{225}\times 27$$

Multiply \frac{1}{225} and 27 to get \frac{3}{25}.

$$\frac{3}{25}$$

Factor

$$\frac{3}{5 ^ {2}} = 0.12$$