1000(1+.044/4)^48 सोडवा

$$1000 ( 1 + \frac { .044 } { 4 } ) ^ { 48 }$$

मूल्यांकन करा

$$1690.656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281$$

निरसन चरणे

अंश आणि भाजक दोन्हीला 1000 ने गुणून \frac{0.044}{4} विस्तृत करा.

$$1000\left(1+\frac{44}{4000}\right)^{48}$$

4 एक्स्ट्रॅक्ट आणि रद्द करून \frac{44}{4000} अंश निम्नतम टर्म्सला कमी करा.

$$1000\left(1+\frac{11}{1000}\right)^{48}$$

\frac{1011}{1000} मिळविण्यासाठी 1 आणि \frac{11}{1000} जोडा.

$$1000\times \left(\frac{1011}{1000}\right)^{48}$$

48 च्या पॉवरसाठी \frac{1011}{1000} मोजा आणि \frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} मिळवा.

$$1000\times \frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

\frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} मिळविण्यासाठी 1000 आणि \frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} चा गुणाकार करा.

$$\frac{1690656849624850194676074036511614917659116760051199180877209172503884633043059911054094003552480084039488711419466290659533191490977168765017281}{1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

घटक

$$\frac{3 ^ {48} \cdot 337 ^ {48}}{2 ^ {141} \cdot 5 ^ {141}} = 1690\frac{6.568496248504368 \times 10^{140}}{1 \times 10^{141}} = 1690.6568496248503$$