Question

3la puterea401-2×9 la puterea 200 as dori o explicatie detaliata a acestiu exercitiu. Multumesc

Answer 1

3⁴⁰¹ - 2 * 9²⁰⁰ = 3⁴⁰¹ - 2*(3²)²⁰⁰ = 3⁴⁰¹ - 2* 3²ˣ²⁰⁰ = 3⁴⁰¹ - 2*3⁴⁰⁰ =

                                                  = 3⁴⁰⁰*(3¹ - 2) = 3⁴⁰⁰ * 1 = 3⁴⁰⁰

Answer 2

${3}^{401} - 2 \times {9}^{200} = {3}^{401} - 2 \times {3}^{400} = (3 - 2) \times {3}^{400} = 1 \times {3}^{400} = {3}^{400}$