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 master, hapa kuna masuluhisho ya maswali yako: 7. Simplify: a^4 ÷ a^3 × a^6 Tunatumia sheria za exponents (nguvu) hapa. Wakati wa kugawanya exponents zenye base (msingi) sawa, tunatoa exponents. Wakati wa kuzidisha exponents zenye base sawa, tunajumlisha exponents. Tunafuata utaratibu wa shughuli (division kwanza, kisha multiplication). Step 1: Fanya mgawanyiko kwanza. a^4 ÷ a^3 = a^4-3 = a^1 = a Step 2: Fanya kuzidisha. a × a^6 = a^1+6 = a^7 Jibu la mwisho: a^7 8. Solve (3n+6)/(5) = 2+n Huu ni mlinganyo wa linear. Lengo ni kutafuta thamani ya n. Step 1: Ondoa kigawanyo kwa kuzidisha pande zote mbili za mlinganyo kwa 5. 5 × ((3n+6)/(5)) = 5 × (2+n) 3n+6 = 10+5n Step 2: Kusanya vigezo vya n upande mmoja na nambari upande mwingine. Toa 3n kutoka pande zote mbili: 6 = 10 + 5n - 3n 6 = 10 + 2n Toa 10 kutoka pande zote mbili: 6 - 10 = 2n -4 = 2n Step 3: Gawanya kwa 2 ili kupata thamani ya n. n = (-4)/(2) n = -2 Jibu la mwisho: -2 3 done, 2 left today. You're making progress.