Question

By what number should (-1/5) power -1 be multiplied so that the product may be equal to (1/5)to the power -3​

Answer 1

Answer:

x=-25

Step-by-step explanation:

Let the number be x

(-1/5)^-1*x=(1/5)^-3

x= (1/5)^-3*(-5)^-1

x=(1/5)^-3*(-1/5)^1

x= -[(1/5)^-3+1]

x= -[(1/5)^-2]

x=-(5²)

x= -25 or x=(-1/5)^-2)

So,(-1/5)^-2*(-1/5)^-1 = (1/5)^-3

Hence Proven

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