Solve 0.5^2*0.5^2/0.75*0.25

$$\frac { 0.5 ^ { 2 } \times 0.5 ^ { 2 } } { 0.75 \times 0.25 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

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

$$\frac{0.5^{4}}{0.75\times 0.25}$$

Calculate 0.5 to the power of 4 and get 0.0625.

$$\frac{0.0625}{0.75\times 0.25}$$

Multiply 0.75 and 0.25 to get 0.1875.

$$\frac{0.0625}{0.1875}$$

Expand \frac{0.0625}{0.1875} by multiplying both numerator and the denominator by 10000.

$$\frac{625}{1875}$$

Reduce the fraction \frac{625}{1875} to lowest terms by extracting and canceling out 625.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$