Solve x=1/2^2(1/2*2*5^2)

$$x = \frac { 1 } { 2 ^ { 2 } } ( \frac { 1 } { 2 } \times 2 \times 5 ^ { 2 } )$$

Solve for x

$$x = \frac{25}{4} = 6\frac{1}{4} = 6.25$$

Steps for Solving Linear Equation

Calculate 2 to the power of 2 and get 4.

$$x=\frac{1}{4}\times \frac{1}{2}\times 2\times 5^{2}$$

Multiply \frac{1}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 1}{4\times 2}\times 2\times 5^{2}$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 2}.

$$x=\frac{1}{8}\times 2\times 5^{2}$$

Multiply \frac{1}{8} and 2 to get \frac{2}{8}.

$$x=\frac{2}{8}\times 5^{2}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{4}\times 5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$x=\frac{1}{4}\times 25$$

Multiply \frac{1}{4} and 25 to get \frac{25}{4}.

$$x=\frac{25}{4}$$

Assign x

$$x≔\frac{25}{4}$$