This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Haya, nitakusaidia na maswali haya. Swali la 1: Tathmini bila kutumia kikokotoo Tunatumia utaratibu wa shughuli (BODMAS/PEMDAS). Step 1: Tathmini nambari (numerator) na denominata (denominator) kando. Kwa nambari: -13+5-70 ÷ 5 Kwanza fanya mgawanyiko: 70 ÷ 5 = 14. Kisha fanya kujumlisha na kutoa kutoka kushoto kwenda kulia: -13 + 5 = -8 -8 - 14 = -22 Kwa denominata: 9-14 × -3+21 Kwanza fanya kuzidisha: 14 × -3 = -42. Kisha fanya kujumlisha na kutoa kutoka kushoto kwenda kulia: 9 - (-42) + 21 = 9 + 42 + 21 9 + 42 = 51 51 + 21 = 72 Step 2: Gawanya nambari kwa denominata na kurahisisha. (-22)/(72) = (-11)/(36) Jibu la mwisho ni: -(11)/(36) Swali la 2: Rahisisha usemi Tunatumia sheria za vipeo. 3a^3b^-32^-1a^-2b^2 Step 1: Rahisisha nambari. (3)/(2^-1) = 3 × 2^1 = 6 Step 2: Rahisisha vigezo vya a. (a^3)/(a^-2) = a^3 - (-2) = a^3+2 = a^5 Step 3: Rahisisha vigezo vya b. b^-3b^2 = b^-3 - 2 = b^-5 = (1)/(b^5) Step 4: Unganisha sehemu zote zilizorahisishwa. 6 × a^5 × (1)/(b^5) = (6a^5)/(b^5) Jibu la mwisho ni: (6a^5)/(b^5) Swali la 3: Pembetatu ABC Swali hili halijakamilika. Taarifa kuhusu pembe ABC au kile kinachohitajika kuhesabiwa (kama vile urefu wa upande AC au eneo la pembetatu) haipo. Tafadhali tuma swali kamili ili niweze kukusaidia. Tuma swali linalofuata 📸