Analysis - HW 18, due Thursday April 7 Submit your answers on a separate sheet. Laws of Exponents Multiplying Powers : a" a" = amtn Dividing Powers : am ; a" = am-n Power of Power : (am )" = amn Notation : am" = a(m") 1) Rewrite the following as powers of 2. (a) (23 )+ (e) 44. 88 . 1616 (b) 4 . 4 . 4 .4 .4 (i) 250 + 250 + 250 + 250 (f) 43 : 22 (c) 240 . 213 - 26 (j)* 44+4(44) +6(44) +4(44) +44 (8) . 850 (d) 210 , 420 . 830 ( 1 ) * 435 = (13)3 (h) 256 (1) * 220 - 219 2) Rewrite the following as powers of 3. (a) (0 ) ( 3 2 ) - 32 ( 6) 3-4. 32: 33 (d) 272+ 3-3 Note : An exponential function of the form at, where a > 0 and a # 1, is one-to-one. As a result, am = a" = m =n. 3) Solve the following equations by expressing all terms as powers of the same base. 13 3- 2. 332+3 3-3 = 3 ( b ) 8 . 22-4 25 (c) 32x = 27 (d) Simultaneous equations : 9.ity 2x.1-1 = 8 and 35y = 243 4) Solve 22x - 6. 28 - 16 = 0. Hint : 230 = (27)2