Solve (2/3)^4*1/3*5

$$( \frac { 2 } { 3 } ) ^ { 4 } \cdot \frac { 1 } { 3 } \cdot 5$$

Evaluate

$$\frac{80}{243}\approx 0.329218107$$

Solution Steps

Calculate \frac{2}{3} to the power of 4 and get \frac{16}{81}.

$$\frac{16}{81}\times \frac{1}{3}\times 5$$

Multiply \frac{16}{81} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 1}{81\times 3}\times 5$$

Do the multiplications in the fraction \frac{16\times 1}{81\times 3}.

$$\frac{16}{243}\times 5$$

Express \frac{16}{243}\times 5 as a single fraction.

$$\frac{16\times 5}{243}$$

Multiply 16 and 5 to get 80.

$$\frac{80}{243}$$

Factor

$$\frac{2 ^ {4} \cdot 5}{3 ^ {5}} = 0.3292181069958848$$