x ( 1 + 1 \% ) ^ { 160 } = 8126
Solve for x
x = \frac{812600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{491382635414058085354353686529562398437543417234816274154112936837466114074400548511202113688118956228539291032967893613954157411781430323478263798363173601522451001515657251068557928129975268943797375456657800417118008766470817266630817548013653491709730176759203096288737318744702386545647566717373798812630426047216001} \approx 1653.701090425
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x\times \left(\frac{101}{100}\right)^{160}=8126
Add 1 and \frac{1}{100} to get \frac{101}{100}.
x\times \frac{491382635414058085354353686529562398437543417234816274154112936837466114074400548511202113688118956228539291032967893613954157411781430323478263798363173601522451001515657251068557928129975268943797375456657800417118008766470817266630817548013653491709730176759203096288737318744702386545647566717373798812630426047216001}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}=8126
Calculate \frac{101}{100} to the power of 160 and get \frac{491382635414058085354353686529562398437543417234816274154112936837466114074400548511202113688118956228539291032967893613954157411781430323478263798363173601522451001515657251068557928129975268943797375456657800417118008766470817266630817548013653491709730176759203096288737318744702386545647566717373798812630426047216001}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.
x=8126\times \frac{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{491382635414058085354353686529562398437543417234816274154112936837466114074400548511202113688118956228539291032967893613954157411781430323478263798363173601522451001515657251068557928129975268943797375456657800417118008766470817266630817548013653491709730176759203096288737318744702386545647566717373798812630426047216001}
Multiply both sides by \frac{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{491382635414058085354353686529562398437543417234816274154112936837466114074400548511202113688118956228539291032967893613954157411781430323478263798363173601522451001515657251068557928129975268943797375456657800417118008766470817266630817548013653491709730176759203096288737318744702386545647566717373798812630426047216001}, the reciprocal of \frac{491382635414058085354353686529562398437543417234816274154112936837466114074400548511202113688118956228539291032967893613954157411781430323478263798363173601522451001515657251068557928129975268943797375456657800417118008766470817266630817548013653491709730176759203096288737318744702386545647566717373798812630426047216001}{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.
x=\frac{812600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{491382635414058085354353686529562398437543417234816274154112936837466114074400548511202113688118956228539291032967893613954157411781430323478263798363173601522451001515657251068557928129975268943797375456657800417118008766470817266630817548013653491709730176759203096288737318744702386545647566717373798812630426047216001}
Multiply 8126 and \frac{100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{491382635414058085354353686529562398437543417234816274154112936837466114074400548511202113688118956228539291032967893613954157411781430323478263798363173601522451001515657251068557928129975268943797375456657800417118008766470817266630817548013653491709730176759203096288737318744702386545647566717373798812630426047216001} to get \frac{812600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{491382635414058085354353686529562398437543417234816274154112936837466114074400548511202113688118956228539291032967893613954157411781430323478263798363173601522451001515657251068557928129975268943797375456657800417118008766470817266630817548013653491709730176759203096288737318744702386545647566717373798812630426047216001}.
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