Question

On multiplying ______ by 2^–5 we get 2⁵.

Answer 1

On multiplying 2¹⁰ by 2^–5 we get 2⁵.

Explanation:

Let x be multiplied by `2^-5` to get `2^5`.

So, `x xx 2^-5 = 2^5`

⇒ `x xx 1/2^5 = 2^5`  ....`[because a^-m = 1/a^m]`

∴ `x = 2^5 xx 2^5 = (2)^5 = 2^10`  .....`[because a^m xx a^n = (a)^(m + n)]`