ارزیابی
\frac{82817974522014550258408423595736849801612281185389443546420186410325491933012122303777028329685801938557337600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2149245430428980534561569914848098377085067912219794750119595237610184023252357660516606846393423039064275276107806457451768466538198307146789480826629151772657629293277672358059930436001}\approx 3.853351197 \cdot 10^{25}
عامل
\frac{2 ^ {304} \cdot 3 ^ {100} \cdot 5 ^ {104}}{73 ^ {100}} = 3.8533511970982492 \times 10^{25}\frac{3.4147882721224367 \times 10^{185}}{2.1492454304289805 \times 10^{186}} = 3.8533511970982492 \times 10^{25}
اشتراک گذاشتن
رونوشتشده در تخته یادداشت
10000\times \left(\frac{600}{365}\right)^{100}
10000 و 0.06 را برای دستیابی به 600 ضرب کنید.
10000\times \left(\frac{120}{73}\right)^{100}
کسر \frac{600}{365} را با ریشه گرفتن و ساده کردن 5، به کمترین عبارت‌ها کاهش دهید.
10000\times \frac{8281797452201455025840842359573684980161228118538944354642018641032549193301212230377702832968580193855733760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2149245430428980534561569914848098377085067912219794750119595237610184023252357660516606846393423039064275276107806457451768466538198307146789480826629151772657629293277672358059930436001}
\frac{120}{73} را به توان 100 محاسبه کنید و \frac{8281797452201455025840842359573684980161228118538944354642018641032549193301212230377702832968580193855733760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2149245430428980534561569914848098377085067912219794750119595237610184023252357660516606846393423039064275276107806457451768466538198307146789480826629151772657629293277672358059930436001} را به دست آورید.
\frac{82817974522014550258408423595736849801612281185389443546420186410325491933012122303777028329685801938557337600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2149245430428980534561569914848098377085067912219794750119595237610184023252357660516606846393423039064275276107806457451768466538198307146789480826629151772657629293277672358059930436001}
10000 و \frac{8281797452201455025840842359573684980161228118538944354642018641032549193301212230377702832968580193855733760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2149245430428980534561569914848098377085067912219794750119595237610184023252357660516606846393423039064275276107806457451768466538198307146789480826629151772657629293277672358059930436001} را برای دستیابی به \frac{82817974522014550258408423595736849801612281185389443546420186410325491933012122303777028329685801938557337600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{2149245430428980534561569914848098377085067912219794750119595237610184023252357660516606846393423039064275276107806457451768466538198307146789480826629151772657629293277672358059930436001} 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}