Question

Say true or false and justify your answer:

• A. (i)10×10¹¹=100¹¹
• B. (ii)2³>5²
• C. (iii)2³×3²=6⁵
• D. (iv)3⁰=(1000)⁰

Answer 1

The Correct Option is A

(i) 10 x 10¹¹= 100¹¹
L.H.S. = 10 x 10¹¹ = 10¹¹ + 1 (a ^m x a ⁿ = a ^m+n )
= 1012
R.H.S. = 100¹¹ = (10 x 10)¹¹= (10² ) ¹¹
= 10^{2 x 11} = 10²² (a^m)ⁿ = a^mn
As L.H.S. ≠ R.H.S.,
Therefore, the given statement is false.

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(ii) 2³ > 5²
L.H.S. = 2³ = 2 x 2 x 2 = 8
R.H.S. = 5² = 5 x 5 = 25
As 25 > 8,
Therefore, the given statement is false.

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(iii) 2³ x 3² = 65
L.H.S. = 2³ x 3² = 2 x 2 x 2 x 3 x 3 = 72
R.H.S. = 6⁵ = 7776
As L.H.S. ≠ R.H.S.,
Therefore, the given statement is false.

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(iv) 3⁰ = (1000)⁰
L.H.S. = 30 = 1
R.H.S. = (1000)0 = 1 = L.H.S.
Therefore, the given statement is true.