Solve 5^2/5+(1+1/4*2)^2

$$\frac { 5 ^ { 2 } } { 5 } + ( 1 + \frac { 1 } { 4 } \times 2 ) ^ { 2 }$$

Evaluate

$$\frac{29}{4}=7.25$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

$$5^{1}+\left(1+\frac{1}{4}\times 2\right)^{2}$$

Calculate 5 to the power of 1 and get 5.

$$5+\left(1+\frac{1}{4}\times 2\right)^{2}$$

Multiply \frac{1}{4} and 2 to get \frac{1}{2}.

$$5+\left(1+\frac{1}{2}\right)^{2}$$

Add 1 and \frac{1}{2} to get \frac{3}{2}.

$$5+\left(\frac{3}{2}\right)^{2}$$

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

$$5+\frac{9}{4}$$

Add 5 and \frac{9}{4} to get \frac{29}{4}.

$$\frac{29}{4}$$

Factor

$$\frac{29}{2 ^ {2}} = 7\frac{1}{4} = 7.25$$