Solve 2(6,63*10^-34*300000000/32010^-9-3,74*1,610^-19)/9,1*10^-31

$$\frac { 2 ( 6,63 \cdot 10 ^ { - 34 } \cdot \frac { 300000000 } { 32010 ^ { - 9 } } - 3,74 \cdot 1,610 ^ { - 19 } ) } { 9,1 \cdot 10 ^ { - 31 } }$$

Evaluate

$$\frac{1672648445586730247871192798037587029050498972340456918821662980585843600000000000}{108445170902554568675012340019849633}\approx 1,542390898 \cdot 10^{46}$$

Solution Steps

Calculate 10 to the power of -34 and get \frac{1}{10000000000000000000000000000000000}.

$$\frac{2\left(6,63\times \frac{1}{10000000000000000000000000000000000}\times \frac{300000000}{32010^{-9}}-3,74\times 1\times 610^{-19}\right)}{9,1\times 10^{-31}}$$

Multiply 6,63 and \frac{1}{10000000000000000000000000000000000} to get \frac{663}{1000000000000000000000000000000000000}.

$$\frac{2\left(\frac{663}{1000000000000000000000000000000000000}\times \frac{300000000}{32010^{-9}}-3,74\times 1\times 610^{-19}\right)}{9,1\times 10^{-31}}$$

Calculate 32010 to the power of -9 and get \frac{1}{35283451920626569815130480668801000000000}.

$$\frac{2\left(\frac{663}{1000000000000000000000000000000000000}\times \frac{300000000}{\frac{1}{35283451920626569815130480668801000000000}}-3,74\times 1\times 610^{-19}\right)}{9,1\times 10^{-31}}$$

Divide 300000000 by \frac{1}{35283451920626569815130480668801000000000} by multiplying 300000000 by the reciprocal of \frac{1}{35283451920626569815130480668801000000000}.

$$\frac{2\left(\frac{663}{1000000000000000000000000000000000000}\times 300000000\times 35283451920626569815130480668801000000000-3,74\times 1\times 610^{-19}\right)}{9,1\times 10^{-31}}$$

Multiply 300000000 and 35283451920626569815130480668801000000000 to get 10585035576187970944539144200640300000000000000000.

$$\frac{2\left(\frac{663}{1000000000000000000000000000000000000}\times 10585035576187970944539144200640300000000000000000-3,74\times 1\times 610^{-19}\right)}{9,1\times 10^{-31}}$$

Multiply \frac{663}{1000000000000000000000000000000000000} and 10585035576187970944539144200640300000000000000000 to get \frac{70178785870126247362294526050245189}{10000000000000000000}.

$$\frac{2\left(\frac{70178785870126247362294526050245189}{10000000000000000000}-3,74\times 1\times 610^{-19}\right)}{9,1\times 10^{-31}}$$

Multiply 3,74 and 1 to get 3,74.

$$\frac{2\left(\frac{70178785870126247362294526050245189}{10000000000000000000}-3,74\times 610^{-19}\right)}{9,1\times 10^{-31}}$$

Calculate 610 to the power of -19 and get \frac{1}{83419362232734283596163338476807410000000000000000000}.

$$\frac{2\left(\frac{70178785870126247362294526050245189}{10000000000000000000}-3,74\times \frac{1}{83419362232734283596163338476807410000000000000000000}\right)}{9,1\times 10^{-31}}$$

Multiply 3,74 and \frac{1}{83419362232734283596163338476807410000000000000000000} to get \frac{187}{4170968111636714179808166923840370500000000000000000000}.

$$\frac{2\left(\frac{70178785870126247362294526050245189}{10000000000000000000}-\frac{187}{4170968111636714179808166923840370500000000000000000000}\right)}{9,1\times 10^{-31}}$$

Subtract \frac{187}{4170968111636714179808166923840370500000000000000000000} from \frac{70178785870126247362294526050245189}{10000000000000000000} to get \frac{29271347797767779337745873965657773008383732015957996079379102160252263}{4170968111636714179808166923840370500000000000000000000}.

$$\frac{2\times \frac{29271347797767779337745873965657773008383732015957996079379102160252263}{4170968111636714179808166923840370500000000000000000000}}{9,1\times 10^{-31}}$$

Multiply 2 and \frac{29271347797767779337745873965657773008383732015957996079379102160252263}{4170968111636714179808166923840370500000000000000000000} to get \frac{29271347797767779337745873965657773008383732015957996079379102160252263}{2085484055818357089904083461920185250000000000000000000}.

$$\frac{\frac{29271347797767779337745873965657773008383732015957996079379102160252263}{2085484055818357089904083461920185250000000000000000000}}{9,1\times 10^{-31}}$$

Calculate 10 to the power of -31 and get \frac{1}{10000000000000000000000000000000}.

$$\frac{\frac{29271347797767779337745873965657773008383732015957996079379102160252263}{2085484055818357089904083461920185250000000000000000000}}{9,1\times \frac{1}{10000000000000000000000000000000}}$$

Multiply 9,1 and \frac{1}{10000000000000000000000000000000} to get \frac{91}{100000000000000000000000000000000}.

$$\frac{\frac{29271347797767779337745873965657773008383732015957996079379102160252263}{2085484055818357089904083461920185250000000000000000000}}{\frac{91}{100000000000000000000000000000000}}$$

Divide \frac{29271347797767779337745873965657773008383732015957996079379102160252263}{2085484055818357089904083461920185250000000000000000000} by \frac{91}{100000000000000000000000000000000} by multiplying \frac{29271347797767779337745873965657773008383732015957996079379102160252263}{2085484055818357089904083461920185250000000000000000000} by the reciprocal of \frac{91}{100000000000000000000000000000000}.

$$\frac{29271347797767779337745873965657773008383732015957996079379102160252263}{2085484055818357089904083461920185250000000000000000000}\times \frac{100000000000000000000000000000000}{91}$$

Multiply \frac{29271347797767779337745873965657773008383732015957996079379102160252263}{2085484055818357089904083461920185250000000000000000000} and \frac{100000000000000000000000000000000}{91} to get \frac{1672648445586730247871192798037587029050498972340456918821662980585843600000000000}{108445170902554568675012340019849633}.

$$\frac{1672648445586730247871192798037587029050498972340456918821662980585843600000000000}{108445170902554568675012340019849633}$$