Solve 2/3*-1/3{left(2/3right)}^2

$$\frac{ 2 }{ 3 } \times - \frac{ 1 }{ 3 } { \left( \frac{ 2 }{ 3 } \right) }^{ 2 }$$

Evaluate

$$-\frac{8}{81}\approx -0.098765432$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\left(\frac{2}{3}\right)^{3}\left(-\frac{1}{3}\right)$$

Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.

$$\frac{8}{27}\left(-\frac{1}{3}\right)$$

Multiply \frac{8}{27} times -\frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\left(-1\right)}{27\times 3}$$

Do the multiplications in the fraction \frac{8\left(-1\right)}{27\times 3}.

$$\frac{-8}{81}$$

Fraction \frac{-8}{81} can be rewritten as -\frac{8}{81} by extracting the negative sign.

$$-\frac{8}{81}$$

Factor

$$-\frac{8}{81} = -0.09876543209876543$$