I-evaluate
\frac{1152000000000000000000}{5037851}\approx 2.286689305 \cdot 10^{14}
I-factor
\frac{2 ^ {25} \cdot 3 ^ {2} \cdot 5 ^ {18}}{7 \cdot 13 \cdot 23 \cdot 29 \cdot 83} = 228668930462611\frac{4711039}{5037851} = 228668930462611.94
Ibahagi
Kinopya sa clipboard
\frac{9\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-20}\times 91\times 166\times 10^{-27}}
Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang 11 at -31 para makuha ang -20.
\frac{9\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{667\times 10^{-47}\times 91\times 166}
Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang -20 at -27 para makuha ang -47.
\frac{9\times 10^{56}\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}
Para magi-divide ng mga power na may parehong base, i-subtract ang exponent ng denominator mula sa exponent ng numerator.
\frac{9\times 100000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}
Kalkulahin ang 10 sa power ng 56 at kunin ang 100000000000000000000000000000000000000000000000000000000.
\frac{900000000000000000000000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{91\times 166\times 667}
I-multiply ang 9 at 100000000000000000000000000000000000000000000000000000000 para makuha ang 900000000000000000000000000000000000000000000000000000000.
\frac{900000000000000000000000000000000000000000000000000000000\times \left(16\times \frac{1}{10000000000000000000}\right)^{2}}{91\times 166\times 667}
Kalkulahin ang 10 sa power ng -19 at kunin ang \frac{1}{10000000000000000000}.
\frac{900000000000000000000000000000000000000000000000000000000\times \left(\frac{1}{625000000000000000}\right)^{2}}{91\times 166\times 667}
I-multiply ang 16 at \frac{1}{10000000000000000000} para makuha ang \frac{1}{625000000000000000}.
\frac{900000000000000000000000000000000000000000000000000000000\times \frac{1}{390625000000000000000000000000000000}}{91\times 166\times 667}
Kalkulahin ang \frac{1}{625000000000000000} sa power ng 2 at kunin ang \frac{1}{390625000000000000000000000000000000}.
\frac{2304000000000000000000}{91\times 166\times 667}
I-multiply ang 900000000000000000000000000000000000000000000000000000000 at \frac{1}{390625000000000000000000000000000000} para makuha ang 2304000000000000000000.
\frac{2304000000000000000000}{15106\times 667}
I-multiply ang 91 at 166 para makuha ang 15106.
\frac{2304000000000000000000}{10075702}
I-multiply ang 15106 at 667 para makuha ang 10075702.
\frac{1152000000000000000000}{5037851}
Bawasan ang fraction \frac{2304000000000000000000}{10075702} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.
Mga Halimbawa
Ekwasyong kwadratiko
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Ekwasyon na linyar
y = 3x + 4
Aritmetika
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Sabay sabay na equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Pagkakaiba iba
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Pagsasama sama
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Mga Limitasyon
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}