Find the value of:(30 + 4-1) × 22

(30 + 4-1) × 22 = (1 + 4-1) × 22(∵ Number with zero exponent rule: If ‘a’ is a rational no. other than zero, then a0 = 1)(∵ Reciprocal law: If ‘a’ is a real no. and m is a positive integer, then )⇒30 + 4-1× 22 = 5

Q3 of 239 Page 25

Find the value of:
(3⁰ + 4^-1) × 2²

(3⁰ + 4^-1) × 2² = (1 + 4^-1) × 2²

(∵ Number with zero exponent rule: If ‘a’ is a rational no. other than zero, then a⁰ = 1)

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

⇒3⁰ + 4^-1× 2² = 5

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Simplify:

Find the value of:

(2^-1 × 4^-1) ÷ 2^-2

Find the value of:

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

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Find the value of:
(3⁰ + 4^-1) × 2²

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