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
hapa kuna suluhisho la maswali uliyotuma: d) Tatua 5^8 ÷ 5^5. Step 1: Tumia sheria ya viashiria kwa kugawanya. Wakati wa kugawanya namba zenye 'base' (msingi) sawa, tunatoa viashiria (exponents). a^m ÷ a^n = a^m-n Hivyo, 5^8 ÷ 5^5 = 5^8-5 Step 2: Fanya hesabu ya kutoa kwenye viashiria. 5^8-5 = 5^3 Jibu la mwisho ni: 5^3 3a) Rahisisha usemi ufuatao ukitoa jibu lako katika 'index form': 8x^6 ÷ 8x^2. Step 1: Andika upya usemi kama sehemu. 8x^6 ÷ 8x^2 = (8x^6)/(8x^2) Step 2: Gawanya namba (coefficients) na vigezo (variables) tofauti. Gawanya coefficients: 8 ÷ 8 = 1. Gawanya vigezo kwa kutumia sheria ya viashiria: x^6 ÷ x^2 = x^6-2. Step 3: Fanya hesabu ya kutoa kwenye viashiria. 1 · x^6-2 = x^4 Jibu la mwisho ni: x^4 Umefanya vizuri! Tuma swali linalofuata 📸