Solve sqrt[5]{3.2*10^11}+33*10^-3

$$\sqrt[ 5 ]{ 3.2 \times { 10 }^{ 11 } } +33 \times { 10 }^{ -3 }$$

Evaluate

$$200.033$$

Solution Steps

Calculate 10 to the power of 11 and get 100000000000.

$$\sqrt[5]{3.2\times 100000000000}+33\times 10^{-3}$$

Multiply 3.2 and 100000000000 to get 320000000000.

$$\sqrt[5]{320000000000}+33\times 10^{-3}$$

Calculate \sqrt[5]{320000000000} and get 200.

$$200+33\times 10^{-3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$200+33\times \frac{1}{1000}$$

Multiply 33 and \frac{1}{1000} to get \frac{33}{1000}.

$$200+\frac{33}{1000}$$

Add 200 and \frac{33}{1000} to get \frac{200033}{1000}.

$$\frac{200033}{1000}$$

Factor

$$\frac{200033}{2 ^ {3} \cdot 5 ^ {3}} = 200\frac{33}{1000} = 200.033$$