Solve (2.5)^3/2^2*5^2=

$$\frac { ( 2.5 ) ^ { 3 } } { 2 ^ { 2 } \cdot 5 ^ { 2 } } =$$

Evaluate

$$0.15625$$

Solution Steps

Calculate 2.5 to the power of 3 and get 15.625.

$$\frac{15.625}{2^{2}\times 5^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{15.625}{4\times 5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{15.625}{4\times 25}$$

Multiply 4 and 25 to get 100.

$$\frac{15.625}{100}$$

Expand \frac{15.625}{100} by multiplying both numerator and the denominator by 1000.

$$\frac{15625}{100000}$$

Reduce the fraction \frac{15625}{100000} to lowest terms by extracting and canceling out 3125.

$$\frac{5}{32}$$

Factor

$$\frac{5}{2 ^ {5}} = 0.15625$$