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

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

Evaluate

$$\frac{3}{16}=0.1875$$

Solution Steps

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

$$\frac{243}{1024}\times \frac{4^{3}}{3^{4}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{243}{1024}\times \frac{64}{3^{4}}$$

Calculate 3 to the power of 4 and get 81.

$$\frac{243}{1024}\times \frac{64}{81}$$

Multiply \frac{243}{1024} times \frac{64}{81} by multiplying numerator times numerator and denominator times denominator.

$$\frac{243\times 64}{1024\times 81}$$

Do the multiplications in the fraction \frac{243\times 64}{1024\times 81}.

$$\frac{15552}{82944}$$

Reduce the fraction \frac{15552}{82944} to lowest terms by extracting and canceling out 5184.

$$\frac{3}{16}$$

Factor

$$\frac{3}{2 ^ {4}} = 0.1875$$