Question 59

In the following question, fill in the blanks to make the statements true.

On multiplying ___ by $2^{- 5},$ we get $2^{5}$ .

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Solution

Let x be multiplied by $2^{- 5}$ to get $2^{5}$
So $x \times 2^{- 5} = 2^{5} \Rightarrow x \times \frac{1}{2^{5}} = 2^{5} ∴ x = 2^{5} \times 2^{5} = (2)^{5 + 5} = 2^{10}$

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