Simplify the following. i) 37 × 33ii) 4 × 4 × 4 × 4 × 4iii) 34�

1.	Simplify the following. i) 37 × 33ii) 4 × 4 × 4 × 4 × 4iii) 34 × 43
Answer» (i) 3⁷ × 3³ = 3⁷ + 3³ = 3¹⁰ [∵ a^m × aⁿ = a^m+n] (ii) 4 × 4 × 4 × 4 × 4 = 4⁵ [∵ a × a × a × ……. m times = a^m] (iii) 3⁴ × 4³ = 3⁴⁺³ = 3⁷ [∵ a^m × aⁿ = a^m+n]

Simplify the following. i) 37 × 33ii) 4 × 4 × 4 × 4 × 4iii) 34 × 43

Answer»

(i) 3⁷ × 3³ = 3⁷ + 3³ = 3¹⁰ [∵ a^m × aⁿ = a^m+n]

(ii) 4 × 4 × 4 × 4 × 4 = 4⁵ [∵ a × a × a × ……. m times = a^m]

(iii) 3⁴ × 4³ = 3⁴⁺³ = 3⁷ [∵ a^m × aⁿ = a^m+n]