Solve (1/4)^2(3/4)^2

$$( \frac { 1 } { 4 } ) ^ { 2 } ( \frac { 3 } { 4 } ) ^ { 2 }$$

Evaluate

$$\frac{9}{256}=0.03515625$$

Solution Steps

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{1}{16}\times \left(\frac{3}{4}\right)^{2}$$

Calculate \frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$\frac{1}{16}\times \frac{9}{16}$$

Multiply \frac{1}{16} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{16\times 16}$$

Do the multiplications in the fraction \frac{1\times 9}{16\times 16}.

$$\frac{9}{256}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {8}} = 0.03515625$$