Solve 16726*10^-27*19*10^13=1602*10^-19*19*10^7*x

$$16726 \times { 10 }^{ -27 } \times 19 \times { 10 }^{ 13 } =1602 \times { 10 }^{ -19 } \times 19 \times { 10 }^{ 7 } \times x$$

Solve for x

$$x=\frac{8363}{80100}\approx 0.104406991$$

Steps for Solving Linear Equation

Cancel out 19 on both sides.

$$16726\times 10^{-27}\times 10^{13}=1602\times 10^{-19}\times 10^{7}x$$

To multiply powers of the same base, add their exponents. Add -27 and 13 to get -14.

$$16726\times 10^{-14}=1602\times 10^{-19}\times 10^{7}x$$

To multiply powers of the same base, add their exponents. Add -19 and 7 to get -12.

$$16726\times 10^{-14}=1602\times 10^{-12}x$$

Calculate 10 to the power of -14 and get \frac{1}{100000000000000}.

$$16726\times \frac{1}{100000000000000}=1602\times 10^{-12}x$$

Multiply 16726 and \frac{1}{100000000000000} to get \frac{8363}{50000000000000}.

$$\frac{8363}{50000000000000}=1602\times 10^{-12}x$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$\frac{8363}{50000000000000}=1602\times \frac{1}{1000000000000}x$$

Multiply 1602 and \frac{1}{1000000000000} to get \frac{801}{500000000000}.

$$\frac{8363}{50000000000000}=\frac{801}{500000000000}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{801}{500000000000}x=\frac{8363}{50000000000000}$$

Multiply both sides by \frac{500000000000}{801}, the reciprocal of \frac{801}{500000000000}.

$$x=\frac{8363}{50000000000000}\times \frac{500000000000}{801}$$

Multiply \frac{8363}{50000000000000} and \frac{500000000000}{801} to get \frac{8363}{80100}.

$$x=\frac{8363}{80100}$$