解決51.1^52-1/1.1-1 |Microsoft數學求解器

$$5 \frac{ { 1.1 }^{ 52 } -1 }{ 1.1-1 }$$

評估

$$7052.146599221566648653323007416678356308419408727415605$$

解題步驟

計算 1.1 的 52 乘冪，然後得到 142.0429319844313329730664601483335671261683881745483121。

$$5\times \frac{142.0429319844313329730664601483335671261683881745483121-1}{1.1-1}$$

從 142.0429319844313329730664601483335671261683881745483121 減去 1 會得到 141.0429319844313329730664601483335671261683881745483121。

$$5\times \frac{141.0429319844313329730664601483335671261683881745483121}{1.1-1}$$

從 1.1 減去 1 會得到 0.1。

$$5\times \frac{141.0429319844313329730664601483335671261683881745483121}{0.1}$$

同時對分子與分母乘上 10000000000000000000000000000000000000000000000000000 以展開 \frac{141.0429319844313329730664601483335671261683881745483121}{0.1}。

$$5\times \frac{1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000}$$

運算式 5\times \frac{1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000} 為最簡分數。

$$\frac{5\times 1410429319844313329730664601483335671261683881745483121}{1000000000000000000000000000000000000000000000000000}$$

將 5 乘上 1410429319844313329730664601483335671261683881745483121 得到 7052146599221566648653323007416678356308419408727415605。

$$\frac{7052146599221566648653323007416678356308419408727415605}{1000000000000000000000000000000000000000000000000000}$$

透過找出與消去 5，對分式 \frac{7052146599221566648653323007416678356308419408727415605}{1000000000000000000000000000000000000000000000000000} 約分至最低項。

$$\frac{1410429319844313329730664601483335671261683881745483121}{200000000000000000000000000000000000000000000000000}$$