2. By what number should we multiply (2) so that the product may be equal to (2-')?
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2. By what number should we multiply (2) so that the product may be equal to (2-')?
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Let required no. be x
So
x × 2 = -2
x = 2 /-2 = -1
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Answer:
Let the required number be K,
Given, Product of K and 2^( - 5 ) is equal to 2^( - 1 )
=> 2^( - 5 ) × k = 2^( - 1 )
$$\begin{lgathered}= > K = \frac{ {2}^{ - 1} }{ {2}^{ - 5} } \\ \\ \\ => K = {2}^{ - 1 - ( - 5)} \\ \\ \\ = > K = {2}^{ - 1 + 5} \\ \\ \\ => K = {2}^{4}\end{lgathered}$$
Hence, Required number is 2⁴