Q4 of 239 Page 25

Find the value of m for which
8^{m – 3} = 1

8^{m – 3} = 1

where ‘a’ is a non-zero real no. and m, n are positive integers.)

⇒ 8^m = 1× 8³

⇒ 8^m = 8³

⇒ m = 3 (∵ base is same)

Find the value of m for which

5^m ÷ 5^-3 = 5⁵

Find the value of m for which

4^m = 64

Find the value of m for which

(a³)^m = a⁹

Find the value of m for which

(5^m)² × (25)³ × 125² = 1

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

Find the value of m for which8m – 3 = 1