Question

by what number should (-3)-¹ be multiplied so that the product is (-6)-¹​

Answer 1

Step-by-step explanation:

Let us consider the number which is to be multiplied as x.

so,

${ (- 3)}^{ - 1} \times x = {( - 6)}^{ - 1} \\ x = \frac{ {( - 6)}^{ - 1} }{ {( - 3) }^{ - 1} } \\ we \: know \: that \\ {a}^{ - 1} = \frac{1}{a} \\ therefore \\ x = \frac{ \frac{1}{( - 6)} }{ \frac{1}{( - 3)} } \\ x = \frac{ - 3 }{ - 6} \\ x = \frac{1}{2}$

Thus, 1/2 should be multiplied with (-3)^(-1) to get (-6)^(-1)