Solve sigma=frac{8.4*10^{28}*(1.6*10^{-19})^2*4*10^-8}{9.11*10^-31*1.6*10^6}

$$\sigma = \frac { 8.4 \times 10 ^ { 28 } \times ( 1.6 \times 10 ^ { - 19 } ) ^ { 2 } \times 4 \times 10 ^ { - 8 } } { 9.11 \times 10 ^ { - 31 } \times 1.6 \times 10 ^ { 6 } }$$

Solve for σ

$$\sigma =\frac{53760000000}{911}\approx 59012074.643249177$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 28 and -8 to get 20.

$$\sigma =\frac{8.4\times 10^{20}\times \left(1.6\times 10^{-19}\right)^{2}\times 4}{9.11\times 10^{-31}\times 1.6\times 10^{6}}$$

To multiply powers of the same base, add their exponents. Add -31 and 6 to get -25.

$$\sigma =\frac{8.4\times 10^{20}\times \left(1.6\times 10^{-19}\right)^{2}\times 4}{9.11\times 10^{-25}\times 1.6}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\sigma =\frac{4\times 8.4\times 10^{45}\times \left(1.6\times 10^{-19}\right)^{2}}{1.6\times 9.11}$$

Multiply 4 and 8.4 to get 33.6.

$$\sigma =\frac{33.6\times 10^{45}\times \left(1.6\times 10^{-19}\right)^{2}}{1.6\times 9.11}$$

Calculate 10 to the power of 45 and get 1000000000000000000000000000000000000000000000.

$$\sigma =\frac{33.6\times 1000000000000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{1.6\times 9.11}$$

Multiply 33.6 and 1000000000000000000000000000000000000000000000 to get 33600000000000000000000000000000000000000000000.

$$\sigma =\frac{33600000000000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{1.6\times 9.11}$$

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$\sigma =\frac{33600000000000000000000000000000000000000000000\times \left(1.6\times \frac{1}{10000000000000000000}\right)^{2}}{1.6\times 9.11}$$

Multiply 1.6 and \frac{1}{10000000000000000000} to get \frac{1}{6250000000000000000}.

$$\sigma =\frac{33600000000000000000000000000000000000000000000\times \left(\frac{1}{6250000000000000000}\right)^{2}}{1.6\times 9.11}$$

Calculate \frac{1}{6250000000000000000} to the power of 2 and get \frac{1}{39062500000000000000000000000000000000}.

$$\sigma =\frac{33600000000000000000000000000000000000000000000\times \frac{1}{39062500000000000000000000000000000000}}{1.6\times 9.11}$$

Multiply 33600000000000000000000000000000000000000000000 and \frac{1}{39062500000000000000000000000000000000} to get 860160000.

$$\sigma =\frac{860160000}{1.6\times 9.11}$$

Multiply 1.6 and 9.11 to get 14.576.

$$\sigma =\frac{860160000}{14.576}$$

Expand \frac{860160000}{14.576} by multiplying both numerator and the denominator by 1000.

$$\sigma =\frac{860160000000}{14576}$$

Reduce the fraction \frac{860160000000}{14576} to lowest terms by extracting and canceling out 16.

$$\sigma =\frac{53760000000}{911}$$

Assign σ

$$\sigma ≔\frac{53760000000}{911}$$