Solve 4^2/5^3+10^8

$$\frac { 4 ^ { 2 } } { 5 ^ { 3 } } + 10 ^ { 8 }$$

Evaluate

$$\frac{12500000016}{125}=100000000.128$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\frac{16}{5^{3}}+10^{8}$$

Calculate 5 to the power of 3 and get 125.

$$\frac{16}{125}+10^{8}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{16}{125}[phone]$$

Convert 100000000 to fraction \frac{12500000000}{125}.

$$\frac{16}{125}+\frac{12500000000}{125}$$

Since \frac{16}{125} and \frac{12500000000}{125} have the same denominator, add them by adding their numerators.

$$\frac{16+12500000000}{125}$$

Add 16 and 12500000000 to get 12500000016.

$$\frac{12500000016}{125}$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 7 \cdot 5843 \cdot 6367}{5 ^ {3}} = 100000000\frac{16}{125} = 100000000.128$$