Question

By what number should (15) Power is -1 be divided so that the quotient may be equal to (-5) power is -1

Answer 1

Let the number be x.
We know that, 15^(-1) = 1/15. and (-5)^(-1) = -1/5.
According to the question, (1/15)÷x = -1/5
Or, 1/15 × 1/x = 1/-5
Or, 1/15x = 1/-5
Or, x = -5/15
Or, x = -1/3.

Hence the required number is -1/3

Answer 2

Answer:

-15^-1= -1/15

-5^-1= -1/5

let the divisor be x

-1/15÷x=-1/5

-1/15×1/x= -1/5

1/x= -1/5÷ -1/15

1/x= -1/5× -15

1/x=3

1=3x

1/3=x