Solve (2/3)^2(2/3)^3(2/3)^-4

$$( \frac { 2 } { 3 } ) ^ { 2 } ( \frac { 2 } { 3 } ) ^ { 3 } ( \frac { 2 } { 3 } ) ^ { - 4 }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\left(\frac{2}{3}\right)^{5}\times \left(\frac{2}{3}\right)^{-4}$$

To multiply powers of the same base, add their exponents. Add 5 and -4 to get 1.

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

Calculate \frac{2}{3} to the power of 1 and get \frac{2}{3}.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$