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

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

Evaluate

$$\frac{3}{64}=0.046875$$

Solution Steps

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

$$\frac{16}{81}\times \left(\frac{3}{4}\right)^{5}$$

Calculate \frac{3}{4} to the power of 5 and get \frac{243}{1024}.

$$\frac{16}{81}\times \frac{243}{1024}$$

Multiply \frac{16}{81} times \frac{243}{1024} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 243}{81\times 1024}$$

Do the multiplications in the fraction \frac{16\times 243}{81\times 1024}.

$$\frac{3888}{82944}$$

Reduce the fraction \frac{3888}{82944} to lowest terms by extracting and canceling out 1296.

$$\frac{3}{64}$$

Factor

$$\frac{3}{2 ^ {6}} = 0.046875$$