Question

$$nilaidari3(2 \times )dimana \times =2adalah$$

Answer

$$r=h/(6*d*a*n^2*m)$$

Solution


Remove parentheses.
\[n\imath la\imath dar\imath \times 3\times 2d\imath mana=2adalah\]
Cancel \(l\) on both sides.
\[n\imath a\imath dar\imath \times 3\times 2d\imath mana=2adaah\]
Take out the constants.
\[(3\times 2)nnaaadrm\imath \imath \imath d\imath a=2adaah\]
Simplify  \(3\times 2\)  to  \(6\).
\[6nnaaadrm\imath \imath \imath d\imath a=2adaah\]
Simplify  \(6nnaaadrm\imath \imath \imath d\imath a\)  to  \(6{n}^{2}{a}^{3}drm\imath \imath \imath d\imath a\).
\[6{n}^{2}{a}^{3}drm\imath \imath \imath d\imath a=2adaah\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[6{n}^{2}{a}^{4}{d}^{2}rm{\imath }^{4}{}^{2}=2adaah\]
Use Fourth Power Rule: \({i}^{4}={i}^{2}{i}^{2}=(-1)(-1)=1\).
\[6{n}^{2}{a}^{4}{d}^{2}rm\times 1\times {}^{2}=2adaah\]
Simplify  \(6{n}^{2}{a}^{4}{d}^{2}rm\times 1\times {}^{2}\)  to  \(6{n}^{2}{a}^{4}{d}^{2}rm{}^{2}\).
\[6{n}^{2}{a}^{4}{d}^{2}rm{}^{2}=2adaah\]
Regroup terms.
\[6{}^{2}{n}^{2}{a}^{4}{d}^{2}rm=2adaah\]
Regroup terms.
\[6{}^{2}{n}^{2}{a}^{4}{d}^{2}rm=2aaadh\]
Simplify  \(2aaadh\)  to  \(2{a}^{3}dh\).
\[6{}^{2}{n}^{2}{a}^{4}{d}^{2}rm=2{a}^{3}dh\]
Divide both sides by \(6\).
\[2{n}^{2}{a}^{4}{d}^{2}rm=\frac{2{a}^{3}dh}{6}\]
Simplify  \(\frac{2{a}^{3}dh}{6}\)  to  \(\frac{{a}^{3}dh}{3}\).
\[2{n}^{2}{a}^{4}{d}^{2}rm=\frac{{a}^{3}dh}{3}\]
Divide both sides by \(2\).
\[{n}^{2}{a}^{4}{d}^{2}rm=\frac{\frac{{a}^{3}dh}{3}}{2}\]
Simplify  \(\frac{\frac{{a}^{3}dh}{3}}{2}\)  to  \(\frac{{a}^{3}dh}{3\times 2}\).
\[{n}^{2}{a}^{4}{d}^{2}rm=\frac{{a}^{3}dh}{3\times 2}\]
Simplify  \(3\times 2\)  to  \(6\).
\[{n}^{2}{a}^{4}{d}^{2}rm=\frac{{a}^{3}dh}{6}\]
Divide both sides by \({n}^{2}\).
\[{a}^{4}{d}^{2}rm=\frac{\frac{{a}^{3}dh}{6}}{{n}^{2}}\]
Simplify  \(\frac{\frac{{a}^{3}dh}{6}}{{n}^{2}}\)  to  \(\frac{{a}^{3}dh}{6{n}^{2}}\).
\[{a}^{4}{d}^{2}rm=\frac{{a}^{3}dh}{6{n}^{2}}\]
Divide both sides by \({a}^{4}\).
\[{d}^{2}rm=\frac{\frac{{a}^{3}dh}{6{n}^{2}}}{{a}^{4}}\]
Simplify  \(\frac{\frac{{a}^{3}dh}{6{n}^{2}}}{{a}^{4}}\)  to  \(\frac{{a}^{3}dh}{6{n}^{2}{a}^{4}}\).
\[{d}^{2}rm=\frac{{a}^{3}dh}{6{n}^{2}{a}^{4}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[{d}^{2}rm=\frac{{a}^{3-4}dh{n}^{-2}}{6}\]
Simplify  \(3-4\)  to  \(-1\).
\[{d}^{2}rm=\frac{{a}^{-1}dh{n}^{-2}}{6}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[{d}^{2}rm=\frac{\frac{1}{a}dh{n}^{-2}}{6}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[{d}^{2}rm=\frac{\frac{1}{a}dh\times \frac{1}{{n}^{2}}}{6}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[{d}^{2}rm=\frac{\frac{1\times dh\times 1}{a{n}^{2}}}{6}\]
Simplify  \(1\times dh\times 1\)  to  \(dh\).
\[{d}^{2}rm=\frac{\frac{dh}{a{n}^{2}}}{6}\]
Simplify  \(\frac{\frac{dh}{a{n}^{2}}}{6}\)  to  \(\frac{dh}{6a{n}^{2}}\).
\[{d}^{2}rm=\frac{dh}{6a{n}^{2}}\]
Divide both sides by \({d}^{2}\).
\[rm=\frac{\frac{dh}{6a{n}^{2}}}{{d}^{2}}\]
Simplify  \(\frac{\frac{dh}{6a{n}^{2}}}{{d}^{2}}\)  to  \(\frac{dh}{6a{n}^{2}{d}^{2}}\).
\[rm=\frac{dh}{6a{n}^{2}{d}^{2}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[rm=\frac{{d}^{1-2}h{a}^{-1}{n}^{-2}}{6}\]
Simplify  \(1-2\)  to  \(-1\).
\[rm=\frac{{d}^{-1}h{a}^{-1}{n}^{-2}}{6}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[rm=\frac{\frac{1}{d}h{a}^{-1}{n}^{-2}}{6}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[rm=\frac{\frac{1}{d}h\times \frac{1}{a}{n}^{-2}}{6}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[rm=\frac{\frac{1}{d}h\times \frac{1}{a}\times \frac{1}{{n}^{2}}}{6}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[rm=\frac{\frac{1\times h\times 1\times 1}{da{n}^{2}}}{6}\]
Simplify  \(1\times h\times 1\times 1\)  to  \(h\).
\[rm=\frac{\frac{h}{da{n}^{2}}}{6}\]
Simplify  \(\frac{\frac{h}{da{n}^{2}}}{6}\)  to  \(\frac{h}{6da{n}^{2}}\).
\[rm=\frac{h}{6da{n}^{2}}\]
Divide both sides by \(m\).
\[r=\frac{\frac{h}{6da{n}^{2}}}{m}\]
Simplify  \(\frac{\frac{h}{6da{n}^{2}}}{m}\)  to  \(\frac{h}{6da{n}^{2}m}\).
\[r=\frac{h}{6da{n}^{2}m}\]