Question

Say true or false and justify your answer:

10 × 10¹¹ = 100¹¹

Options

• True

• False

Answer 1

This statement is False.

Explanation:

10 × 10¹¹ = 100¹¹

L.H.S. = 10 × 10¹¹ 

= `10^(11  +  1)`       ...(∵ a^m × aⁿ = a^{m + n})

= 10¹²

R.H.S. = 100¹¹

= (10 × 10)¹¹

= (10²)¹¹

= `10^(2  ×  11)`

= 10²²        ...(∵ (a^m)ⁿ = a^mn)

As L.H.S. ≠ R.H.S.