Arithmetic Expression
Question 1 ) Simplify 6 3 + 3 3 A ) 3 5 B) 3 6 c) 6 3 D) 6 4 Question 2 ) Simplify 4 3 + 4 3 + 4 3 + 4 3 + 3 2 + 3 2 + 3 2 (A) 4 4 + 3 3 (B)4 2 + 3 6 (C)4 3 (3 2 ) (D) 2 6 + 3 6 Question 3) Simplify 4 8 – 8 4 ----------------- 2 4 + 4 2 ( A) 1/2 5 (B) 2 2 (7) (C) 2 7 (15) Explanation Question 1 ) Begin by breaking 6 down into its prime factors. 6 3 + 3 3 = (2 x 3) 3 + 3 3 = Now each term contains (33). Factor it out. (2 3 )(3 3 ) + 3 3 = 3 3 (2 3 + 1) = 3 3 (9) = 3 3 (3 2 ) = 3 5 . Explanation Question 2) Factor 4 3 out of the first four terms and factor 3 2 out of the last three terms. 4 3 + 4 3 + 4 3 + 4 3 + 3 2 + 3 2 + 3 2 = 4 3 (1 + 1 + 1 + 1) + 3 2 (1 + 1 + 1) = 4 3 (4) + 3 2 (3) = 4 4 + 3 3