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
Ili kutatua tatizo hili, tutatumia sheria za vipeo (exponents). Step 1: Rahisisha namba (numerator) ya usemi kwa kutumia sheria ya vipeo a^m × a^n = a^m+n. 3^4n × 3^-2n = 3^4n + (-2n) = 3^4n - 2n = 3^2n Step 2: Sasa usemi umekuwa 3^2n3^n. Rahisisha usemi huu kwa kutumia sheria ya vipeo (a^m)/(a^n) = a^m-n. 3^2n3^n = 3^2n - n = 3^n Step 3: Linganisha matokeo na upande wa kulia wa mlinganyo, ambao ni 3^2. 3^n = 3^2 Kwa kuwa besi (base) ni sawa (3), vipeo (exponents) lazima viwe sawa. n = 2 Jibu la mwisho ni: n = 2 That's 2 down. 3 left today — send the next one.