By which number should be multiplied so that the product is the reciprocal of ?
Correct Answer :
7/16
Solution :
The correct option is 7/16.
Let the required number to be multiplied be .
According to the question, we need to multiply by to get the reciprocal of .
First, let us simplify the given expressions using the negative exponent rule, :
Next, find the expression for :
The reciprocal of is therefore:
Now, setup the equation based on the given condition:
Solve for :
Thus, the required number is 7/16.
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