(∵ if ‘a’ is a real no. and m, n are integers, then (am)n = amn)(∵ Reciprocal law: If ‘a’ is a real no. and m is a positive integer, then )

Q3 of 239 Page 25

Find the value of:

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

(∵ Reciprocal law: If ‘a’ is a real no. and m is a positive integer, then )

Find the value of:

(3^-1 + 4^-1 + 5^-1)⁰

Find the value of:

7^-20 – 7^-21

Find the value of m for which

5^m ÷ 5^-3 = 5⁵

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