Find the value of m for which(a3)m = a9

(a3)m = a9⇒ a3m = a9(∵ if ‘a’ is a real no. and m, n are integers, then (am)n = amn)⇒ 3m = 9 (∵ base is same)⇒ m = 3

Q4 of 239 Page 25

Find the value of m for which
(a³)^m = a⁹

(a³)^m = a⁹

⇒ a^3m = a⁹

(∵ if ‘a’ is a real no. and m, n are integers, then (a^m)ⁿ = a^mn)

⇒ 3m = 9 (∵ base is same)

⇒ m = 3

Find the value of m for which

4^m = 64

Find the value of m for which

8^{m – 3} = 1

Find the value of m for which

(5^m)² × (25)³ × 125² = 1

Find the value of m for which

Questions · 239

1. Real Number System

1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 6 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 1 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 1 1 1 1 1 1 1 2 3