![by \: which \: number \: should -5 {}^{ - 1 \: } be \: multiplied \: so \: that \: product \: is \: equal \: to \: 2 {}^{1} by \: which \: number \: should -5 {}^{ - 1 \: } be \: multiplied \: so \: that \: product \: is \: equal \: to \: 2 {}^{1}](https://tex.z-dn.net/?f=by+%5C%3A+which+%5C%3A+number+%5C%3A+should+-5+++%7B%7D%5E%7B+-+1+%5C%3A+%7D+be+%5C%3A+multiplied+%5C%3A+so+%5C%3A+that+%5C%3A+product+%5C%3A+is+%5C%3A+equal+%5C%3A+to+%5C%3A+2+%7B%7D%5E%7B1%7D+)
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-10 is the correct answer.
This is the best possible answer
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2
Answer:
Assumption: Let the number to be multiplied be x.
So, as per the question,
-5^(-1) × x= 2¹
=> (-1/5)¹ × x = 2
=> (-1/5) × x = 2
=> x = 2 × (-5)
=> x = -10
So, -10 should be multiplied to (-5)^(-1) to get 2¹.
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