Solve (-5/2)^4(4/9)^2(-18/20)^4=

$$( - \frac { 5 } { 2 } ) ^ { 4 } ( \frac { 4 } { 9 } ) ^ { 2 } ( - \frac { 18 } { 20 } ) ^ { 4 } =$$

Evaluate

$$\frac{81}{16}=5.0625$$

Solution Steps

Calculate -\frac{5}{2} to the power of 4 and get \frac{625}{16}.

$$\frac{625}{16}\times \left(\frac{4}{9}\right)^{2}\left(-\frac{18}{20}\right)^{4}$$

Calculate \frac{4}{9} to the power of 2 and get \frac{16}{81}.

$$\frac{625}{16}\times \frac{16}{81}\left(-\frac{18}{20}\right)^{4}$$

Multiply \frac{625}{16} and \frac{16}{81} to get \frac{625}{81}.

$$\frac{625}{81}\left(-\frac{18}{20}\right)^{4}$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$\frac{625}{81}\left(-\frac{9}{10}\right)^{4}$$

Calculate -\frac{9}{10} to the power of 4 and get \frac{6561}{10000}.

$$\frac{625}{81}\times \frac{6561}{10000}$$

Multiply \frac{625}{81} and \frac{6561}{10000} to get \frac{81}{16}.

$$\frac{81}{16}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {4}} = 5\frac{1}{16} = 5.0625$$