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

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

Evaluate

$$\frac{64}{2187}\approx 0.029263832$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$\left(\frac{2}{3}\right)^{6}\times \frac{2}{6}$$

Calculate \frac{2}{3} to the power of 6 and get \frac{64}{729}.

$$\frac{64}{729}\times \frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{64}{729}\times \frac{1}{3}$$

Multiply \frac{64}{729} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{64\times 1}{729\times 3}$$

Do the multiplications in the fraction \frac{64\times 1}{729\times 3}.

$$\frac{64}{2187}$$

Factor

$$\frac{2 ^ {6}}{3 ^ {7}} = 0.029263831732967534$$