Solve 8,99*10^9frac{20*10^-9x_{n}}{(0,05-0,03)^2}

$$8,99 \cdot 10 ^ { 9 } \frac { 20 \cdot 10 ^ { - 9 } x _ { n } } { ( 0,05 - 0,03 ) ^ { 2 } }$$

Evaluate

$$449500x_{n}$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$8,99\times 1000000000\times \frac{20\times 10^{-9}x_{n}}{\left(0,05-0,03\right)^{2}}$$

Multiply 8,99 and 1000000000 to get 8990000000.

$$8990000000\times \frac{20\times 10^{-9}x_{n}}{\left(0,05-0,03\right)^{2}}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$8990000000\times \frac{20\times \frac{1}{1000000000}x_{n}}{\left(0,05-0,03\right)^{2}}$$

Multiply 20 and \frac{1}{1000000000} to get \frac{1}{50000000}.

$$8990000000\times \frac{\frac{1}{50000000}x_{n}}{\left(0,05-0,03\right)^{2}}$$

Subtract 0,03 from 0,05 to get 0,02.

$$8990000000\times \frac{\frac{1}{50000000}x_{n}}{0,02^{2}}$$

Calculate 0,02 to the power of 2 and get 0,0004.

$$8990000000\times \frac{\frac{1}{50000000}x_{n}}{0,0004}$$

Divide \frac{1}{50000000}x_{n} by 0,0004 to get \frac{1}{20000}x_{n}.

$$8990000000\times \frac{1}{20000}x_{n}$$

Multiply 8990000000 and \frac{1}{20000} to get 449500.

$$449500x_{n}$$

Expand

$$449500x_{n}$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$8,99\times 1000000000\times \frac{20\times 10^{-9}x_{n}}{\left(0,05-0,03\right)^{2}}$$

Multiply 8,99 and 1000000000 to get 8990000000.

$$8990000000\times \frac{20\times 10^{-9}x_{n}}{\left(0,05-0,03\right)^{2}}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$8990000000\times \frac{20\times \frac{1}{1000000000}x_{n}}{\left(0,05-0,03\right)^{2}}$$

Multiply 20 and \frac{1}{1000000000} to get \frac{1}{50000000}.

$$8990000000\times \frac{\frac{1}{50000000}x_{n}}{\left(0,05-0,03\right)^{2}}$$

Subtract 0,03 from 0,05 to get 0,02.

$$8990000000\times \frac{\frac{1}{50000000}x_{n}}{0,02^{2}}$$

Calculate 0,02 to the power of 2 and get 0,0004.

$$8990000000\times \frac{\frac{1}{50000000}x_{n}}{0,0004}$$

Divide \frac{1}{50000000}x_{n} by 0,0004 to get \frac{1}{20000}x_{n}.

$$8990000000\times \frac{1}{20000}x_{n}$$

Multiply 8990000000 and \frac{1}{20000} to get 449500.

$$449500x_{n}$$