Solve 0.25^3/0.5^2*0.5^2

$$\frac{ { 0.25 }^{ 3 } }{ { 0.5 }^{ 2 } \times { 0.5 }^{ 2 } }$$

Evaluate

$$0.25$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{0.25^{3}}{0.5^{4}}$$

Calculate 0.25 to the power of 3 and get 0.015625.

$$\frac{0.015625}{0.5^{4}}$$

Calculate 0.5 to the power of 4 and get 0.0625.

$$\frac{0.015625}{0.0625}$$

Expand \frac{0.015625}{0.0625} by multiplying both numerator and the denominator by 1000000.

$$\frac{15625}{62500}$$

Reduce the fraction \frac{15625}{62500} to lowest terms by extracting and canceling out 15625.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$