Solve (-3/5)^3*(25/9)^2*(-2/3)^2

$$( - \frac { 3 } { 5 } ) ^ { 3 } \times ( \frac { 25 } { 9 } ) ^ { 2 } \times ( - \frac { 2 } { 3 } ) ^ { 2 }$$

Evaluate

$$-\frac{20}{27}\approx -0.740740741$$

Solution Steps

Calculate -\frac{3}{5} to the power of 3 and get -\frac{27}{125}.

$$-\frac{27}{125}\times \left(\frac{25}{9}\right)^{2}\left(-\frac{2}{3}\right)^{2}$$

Calculate \frac{25}{9} to the power of 2 and get \frac{625}{81}.

$$-\frac{27}{125}\times \frac{625}{81}\left(-\frac{2}{3}\right)^{2}$$

Multiply -\frac{27}{125} times \frac{625}{81} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-27\times 625}{125\times 81}\left(-\frac{2}{3}\right)^{2}$$

Do the multiplications in the fraction \frac{-27\times 625}{125\times 81}.

$$\frac{-16875}{10125}\left(-\frac{2}{3}\right)^{2}$$

Reduce the fraction \frac{-16875}{10125} to lowest terms by extracting and canceling out 3375.

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

Calculate -\frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$-\frac{5}{3}\times \frac{4}{9}$$

Multiply -\frac{5}{3} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 4}{3\times 9}$$

Do the multiplications in the fraction \frac{-5\times 4}{3\times 9}.

$$\frac{-20}{27}$$

Fraction \frac{-20}{27} can be rewritten as -\frac{20}{27} by extracting the negative sign.

$$-\frac{20}{27}$$

Factor

$$-\frac{20}{27} = -0.7407407407407407$$