Solve (5/2)^2*(-6/5)=

$$( \frac { 5 } { 2 } ) ^ { 2 } \cdot ( - \frac { 6 } { 5 } ) =$$

Evaluate

$$-\frac{15}{2}=-7.5$$

Solution Steps

Calculate \frac{5}{2} to the power of 2 and get \frac{25}{4}.

$$\frac{25}{4}\left(-\frac{6}{5}\right)$$

Multiply \frac{25}{4} times -\frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\left(-6\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{25\left(-6\right)}{4\times 5}.

$$\frac{-150}{20}$$

Reduce the fraction \frac{-150}{20} to lowest terms by extracting and canceling out 10.

$$-\frac{15}{2}$$

Factor

$$-\frac{15}{2} = -7\frac{1}{2} = -7.5$$