Solve 4/5*2/5^2+3

$$\frac{ 4 }{ 5 } \times \frac{ 2 }{ { 5 }^{ 2 } } +3$$

Evaluate

$$\frac{383}{125}=3.064$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{4}{5}\times \frac{2}{25}+3$$

Multiply \frac{4}{5} times \frac{2}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 2}{5\times 25}+3$$

Do the multiplications in the fraction \frac{4\times 2}{5\times 25}.

$$\frac{8}{125}+3$$

Convert 3 to fraction \frac{375}{125}.

$$\frac{8}{125}+\frac{375}{125}$$

Since \frac{8}{125} and \frac{375}{125} have the same denominator, add them by adding their numerators.

$$\frac{8+375}{125}$$

Add 8 and 375 to get 383.

$$\frac{383}{125}$$

Factor

$$\frac{383}{5 ^ {3}} = 3\frac{8}{125} = 3.064$$