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

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

Evaluate

$$\frac{9}{128}=0.0703125$$

Solution Steps

Divide 4 by 2 to get 2.

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

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

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

Multiply 2 and \frac{1}{16} to get \frac{2}{16}.

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

Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.

$$\frac{1}{8}\times \left(\frac{3}{4}\right)^{2}$$

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

$$\frac{1}{8}\times \frac{9}{16}$$

Multiply \frac{1}{8} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{8\times 16}$$

Do the multiplications in the fraction \frac{1\times 9}{8\times 16}.

$$\frac{9}{128}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {7}} = 0.0703125$$