Solve (2^2/5)*(-5^2/2^3)^3

$$( \frac { 2 ^ { 2 } } { 5 } ) \cdot ( - \frac { 5 ^ { 2 } } { 2 ^ { 3 } } ) ^ { 3 }$$

Evaluate

$$-\frac{3125}{128}=-24.4140625$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{4}{5}\left(-\frac{5^{2}}{2^{3}}\right)^{3}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{4}{5}\left(-\frac{25}{2^{3}}\right)^{3}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{4}{5}\left(-\frac{25}{8}\right)^{3}$$

Calculate -\frac{25}{8} to the power of 3 and get -\frac{15625}{512}.

$$\frac{4}{5}\left(-\frac{15625}{512}\right)$$

Multiply \frac{4}{5} and -\frac{15625}{512} to get -\frac{3125}{128}.

$$-\frac{3125}{128}$$

Factor

$$-\frac{3125}{128} = -24\frac{53}{128} = -24.4140625$$