Solve (1/4)² + 1/16: Adding Squared Fractions Problem

Let's start by solving the given expression $(\frac{1}{4})^2+\frac{1}{16}$.

We will first evaluate the power: $(\frac{1}{4})^2$.

• When you square a fraction, you square both the numerator and the denominator. Therefore,
• Solve $\left(\frac{1}{4}\right)^2 = \frac{1^2}{4^2} = \frac{1}{16}$.

Now that we have the squared term, the expression simplifies to $\frac{1}{16} + \frac{1}{16}$.

To add these fractions, we simply add the numerators since they have the same denominator:

• $\frac{1}{16} + \frac{1}{16} = \frac{1+1}{16} = \frac{2}{16}$.

Simplify the fraction $\frac{2}{16}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

• $\frac{2}{16} = \frac{2 \div 2}{16 \div 2} = \frac{1}{8}$.

Therefore, the answer to the expression is $\frac{1}{8}$.