Lutasin ang =10,000(1+0.065/12)^12*7

$$= 10,000 ( 1 + \frac { 0.065 } { 12 } ) ^ { 12 \cdot 7 }$$

I-evaluate

$$\frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{8664515915089652475988803721704093625742648631686421819108069949833968719763460182088709259453271354297066515437977600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 15742.392508827$$

Mga Hakbang ng Solution

I-expand ang \frac{0.065}{12} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 1000.

$$10000\left(1+\frac{65}{12000}\right)^{12\times 7}$$

Bawasan ang fraction \frac{65}{12000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 5.

$$10000\left(1+\frac{13}{2400}\right)^{12\times 7}$$

Idagdag ang 1 at \frac{13}{2400} para makuha ang \frac{2413}{2400}.

$$10000\times \left(\frac{2413}{2400}\right)^{12\times 7}$$

I-multiply ang 12 at 7 para makuha ang 84.

$$10000\times \left(\frac{2413}{2400}\right)^{84}$$

Kalkulahin ang \frac{2413}{2400} sa power ng 84 at kunin ang \frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{86645159150896524759888037217040936257426486316864218191080699498339687197634601820887092594532713542970665154379776000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$10000\times \frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{86645159150896524759888037217040936257426486316864218191080699498339687197634601820887092594532713542970665154379776000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

I-multiply ang 10000 at \frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{86645159150896524759888037217040936257426486316864218191080699498339687197634601820887092594532713542970665154379776000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} para makuha ang \frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{8664515915089652475988803721704093625742648631686421819108069949833968719763460182088709259453271354297066515437977600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{136400210434320544880140005155497104814495676436300670402485562522525623094271004346475146419173473612709302603718097568842371371609109885911789270976901225259412952937641783990138264266000698548022846442973338827365662830209007555947219725536367165625142460605465283423458234643130961}{8664515915089652475988803721704093625742648631686421819108069949833968719763460182088709259453271354297066515437977600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

I-factor

$$\frac{19 ^ {84} \cdot 127 ^ {84}}{2 ^ {416} \cdot 3 ^ {84} \cdot 5 ^ {164}} = 15742\frac{3.4008989792381383 \times 10^{279}}{8.664515915089654 \times 10^{279}} = 15742.392508827103$$