Solve (-5/6)^3*(-6/5)^2=

$$( - \frac { 5 } { 6 } ) ^ { 3 } \times ( - \frac { 6 } { 5 } ) ^ { 2 } =$$

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

Calculate -\frac{5}{6} to the power of 3 and get -\frac{125}{216}.

$$-\frac{125}{216}\left(-\frac{6}{5}\right)^{2}$$

Calculate -\frac{6}{5} to the power of 2 and get \frac{36}{25}.

$$-\frac{125}{216}\times \frac{36}{25}$$

Multiply -\frac{125}{216} times \frac{36}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-125\times 36}{216\times 25}$$

Do the multiplications in the fraction \frac{-125\times 36}{216\times 25}.

$$\frac{-4500}{5400}$$

Reduce the fraction \frac{-4500}{5400} to lowest terms by extracting and canceling out 900.

$$-\frac{5}{6}$$

Factor

$$-\frac{5}{6} = -0.8333333333333334$$