Solve 20^2*6=0.2*10^-6/130

$$20 ^ { 2 } \times 6 = 0.2 \times \frac { 10 ^ { - 6 } } { 130 }$$

Verify

Solution Steps

Multiply both sides of the equation by 130.

$$130\times 20^{2}\times 6=0.2\times 10^{-6}$$

Calculate 20 to the power of 2 and get 400.

$$130\times 400\times 6=0.2\times 10^{-6}$$

Multiply 130 and 400 to get 52000.

$$52000\times 6=0.2\times 10^{-6}$$

Multiply 52000 and 6 to get 312000.

$$312000=0.2\times 10^{-6}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$312000=0.2\times \frac{1}{1000000}$$

Multiply 0.2 and \frac{1}{1000000} to get \frac{1}{5000000}.

$$312000=\frac{1}{5000000}$$

Convert 312000 to fraction \frac{1560000000000}{5000000}.

$$\frac{1560000000000}{5000000}=\frac{1}{5000000}$$

Compare \frac{1560000000000}{5000000} and \frac{1}{5000000}.

$$\text{false}$$