Solve 25*3^4*16/3^2*64

$$2 \frac { 5 \times 3 ^ { 4 } \times 16 } { 3 ^ { 2 } \times 64 }$$

Evaluate

$$\frac{45}{2}=22.5$$

Solution Steps

Cancel out 16\times 3^{2} in both numerator and denominator.

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

Calculate 3 to the power of 2 and get 9.

$$2\times \frac{5\times 9}{4}$$

Multiply 5 and 9 to get 45.

$$2\times \frac{45}{4}$$

Express 2\times \frac{45}{4} as a single fraction.

$$\frac{2\times 45}{4}$$

Multiply 2 and 45 to get 90.

$$\frac{90}{4}$$

Reduce the fraction \frac{90}{4} to lowest terms by extracting and canceling out 2.

$$\frac{45}{2}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2} = 22\frac{1}{2} = 22.5$$