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1000\left(1+\frac{44}{4000}\right)^{48}
同時對分子與分母乘上 1000 以展開 \frac{0.044}{4}。
1000\left(1+\frac{11}{1000}\right)^{48}
透過找出與消去 4,對分式 \frac{44}{4000} 約分至最低項。
1000\times \left(\frac{1011}{1000}\right)^{48}
將 1 與 \frac{11}{1000} 相加可以得到 \frac{1011}{1000}。
1000\times \frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
計算 \frac{1011}{1000} 的 48 乘冪,然後得到 \frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}。
\frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
將 1000 乘上 \frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} 得到 \frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}。