Question

simplificati fiecare fractie astfel incat sa devins ireductibila 2la puterea15supra2la puterea17;3la puterea18supra9la puterea9;;2la puterea7ori5la puterea13supra 2la puterea 9 ori5 la putere15;2la puterea7ori 5la puterea 13 ori3la puterea 20supra10la puterea9ori9 la putere11;15la puterea13 ori 21 la puterea 20 supra 35 la puterea9 ori 99 la putere11

Answer 1

2^15 / 2^17 = 2^(15 - 17) = 2^(-2) = 1/2²2 = 1/4
2^7 × 5^13 × 3^20 / 10^9 × 9^11 = 2^7×5^13×3^20 / 2^9×5^9×3^22 =
= 2^(7 - 9)×5^(13 - 9)×3^(20 - 22) = 2^(-2)×5^4×3^(-2) = 1/4 × 1/9 × 5^4 =
= 625/36 = 5^4 / 36

15^13×21^20 / 35^9×99^11 = 3^13 × 5^13 × 3^21 × 7^21 / 5^9 × 7^9 × 11^11 × 3^22 = 3^(13 + 21 - 22) × 5^(13 - 9) × 7^(21 - 9) /11^11 = 
3^12 × 5^4 × 7^12 / 11^11