Question

$$MethodOfPrimeFactorisationByDivisionMethod$$

Answer

$$Me*dOfPr*eFa*nByDi*nMe*IM*t^4*h^2*o^5*m*c*r*s^2*a*v*d$$

Solution


Regroup terms.
\[tttthhooooomcrssavdMedOfPr\imath eFa\imath \imath nByDi\imath \imath nMe\]
Simplify.
\[{t}^{4}{h}^{2}{o}^{5}mcr{s}^{2}avdMedOfPr\imath eFa\imath \imath nByDi\imath \imath nMe\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{t}^{4}{h}^{2}{o}^{5}mcr{s}^{2}avdMedOfPr{\imath }^{5}eFanByDinMe\]
Use Power Reduction Rule: \({i}^{n}={i}^{n\text{ mod }4}\).
\[{t}^{4}{h}^{2}{o}^{5}mcr{s}^{2}avdMedOfPr\imath eFanByDinMe\]
Regroup terms.
\[MedOfPreFanByDinMe\imath {t}^{4}{h}^{2}{o}^{5}mcr{s}^{2}avd\]