Simplify \({4}^{2}\) to \(16\).
\[Findm\imath f\times 16m+1={4}^{-6}ch\imath \times {4}^{3}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[Findm\imath f\times 16m+1=\frac{1}{{4}^{6}}ch\imath \times {4}^{3}\]
Simplify \({4}^{6}\) to \(4096\).
\[Findm\imath f\times 16m+1=\frac{1}{4096}ch\imath \times {4}^{3}\]
Simplify \({4}^{3}\) to \(64\).
\[Findm\imath f\times 16m+1=\frac{1}{4096}ch\imath \times 64\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Find{m}^{2}\imath f\times 16+1=\frac{1}{4096}ch\imath \times 64\]
Regroup terms.
\[16Fi\imath nd{m}^{2}f+1=\frac{1}{4096}ch\imath \times 64\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[16Fi\imath nd{m}^{2}f+1=\frac{1\times ch\imath \times 64}{4096}\]
Simplify \(1\times ch\imath \times 64\) to \(64ch\imath \).
\[16Fi\imath nd{m}^{2}f+1=\frac{64ch\imath }{4096}\]
Regroup terms.
\[16Fi\imath nd{m}^{2}f+1=\frac{64\imath ch}{4096}\]
Simplify \(\frac{64\imath ch}{4096}\) to \(\frac{\imath ch}{64}\).
\[16Fi\imath nd{m}^{2}f+1=\frac{\imath ch}{64}\]
Regroup terms.
\[1+16Fi\imath nd{m}^{2}f=\frac{\imath ch}{64}\]
Subtract \(1\) from both sides.
\[16Fi\imath nd{m}^{2}f=\frac{\imath ch}{64}-1\]
Regroup terms.
\[16Fi\imath nd{m}^{2}f=-1+\frac{\imath ch}{64}\]
Divide both sides by \(16\).
\[Fi\imath nd{m}^{2}f=\frac{-1+\frac{\imath ch}{64}}{16}\]
Simplify \(\frac{-1+\frac{\imath ch}{64}}{16}\) to \(-\frac{1}{16}+\frac{\frac{\imath ch}{64}}{16}\).
\[Fi\imath nd{m}^{2}f=-\frac{1}{16}+\frac{\frac{\imath ch}{64}}{16}\]
Simplify \(\frac{\frac{\imath ch}{64}}{16}\) to \(\frac{\imath ch}{64\times 16}\).
\[Fi\imath nd{m}^{2}f=-\frac{1}{16}+\frac{\imath ch}{64\times 16}\]
Simplify \(64\times 16\) to \(1024\).
\[Fi\imath nd{m}^{2}f=-\frac{1}{16}+\frac{\imath ch}{1024}\]
Divide both sides by \(Fi\).
\[\imath nd{m}^{2}f=\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi}\]
Divide both sides by \(\imath \).
\[nd{m}^{2}f=\frac{\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi}}{\imath }\]
Simplify \(\frac{\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi}}{\imath }\) to \(\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath }\).
\[nd{m}^{2}f=\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath }\]
Divide both sides by \(d\).
\[n{m}^{2}f=\frac{\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath }}{d}\]
Simplify \(\frac{\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath }}{d}\) to \(\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath d}\).
\[n{m}^{2}f=\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath d}\]
Divide both sides by \({m}^{2}\).
\[nf=\frac{\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath d}}{{m}^{2}}\]
Simplify \(\frac{\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath d}}{{m}^{2}}\) to \(\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath d{m}^{2}}\).
\[nf=\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath d{m}^{2}}\]
Divide both sides by \(f\).
\[n=\frac{\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath d{m}^{2}}}{f}\]
Simplify \(\frac{\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath d{m}^{2}}}{f}\) to \(\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath d{m}^{2}f}\).
\[n=\frac{-\frac{1}{16}+\frac{\imath ch}{1024}}{Fi\imath d{m}^{2}f}\]
n=(-1/16+(IM*c*h)/1024)/(Fi*IM*d*m^2*f)
