ارزیابی
\frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{8664515915089652475988803721704093625742648631686421819108069949833968719763460182088709259453271354297066515437977600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 15742.392508827
عامل
\frac{19 ^ {84} \cdot 127 ^ {84}}{2 ^ {416} \cdot 3 ^ {84} \cdot 5 ^ {164}} = 15742\frac{3.4008989792381383 \times 10^{279}}{8.664515915089654 \times 10^{279}} = 15742.392508827103
اشتراک گذاشتن
رونوشتشده در تخته یادداشت
10000\left(1+\frac{65}{12000}\right)^{12\times 7}
\frac{0.065}{12} را با ضرب در صورت و مخرج 1000 بسط دهید.
10000\left(1+\frac{13}{2400}\right)^{12\times 7}
کسر \frac{65}{12000} را با ریشه گرفتن و ساده کردن 5، به کمترین عبارت‌ها کاهش دهید.
10000\times \left(\frac{2413}{2400}\right)^{12\times 7}
1 و \frac{13}{2400} را برای دریافت \frac{2413}{2400} اضافه کنید.
10000\times \left(\frac{2413}{2400}\right)^{84}
12 و 7 را برای دستیابی به 84 ضرب کنید.
10000\times \frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{86645159150896524759888037217040936257426486316864218191080699498339687197634601820887092594532713542970665154379776000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
\frac{2413}{2400} را به توان 84 محاسبه کنید و \frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{86645159150896524759888037217040936257426486316864218191080699498339687197634601820887092594532713542970665154379776000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} را به دست آورید.
\frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{8664515915089652475988803721704093625742648631686421819108069949833968719763460182088709259453271354297066515437977600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
10000 و \frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{86645159150896524759888037217040936257426486316864218191080699498339687197634601820887092594532713542970665154379776000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} را برای دستیابی به \frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{8664515915089652475988803721704093625742648631686421819108069949833968719763460182088709259453271354297066515437977600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} ضرب کنید.
نمونه
معادله درجه دوم
{ x } ^ { 2 } - 4 x - 5 = 0
مثلثات
4 \sin \theta \cos \theta = 2 \sin \theta
معادله خطی
y = 3x + 4
حساب
699 * 533
ماتریس
\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]
معادله همزمان
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
تمایز
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
ادغام
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
محدودیت
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}