Question

by what number should (-512)be divided so that the quotient may be to equal (8)^-1

Answer 1

(-512) =( - 2 ^ 9)

8^-1 = 2^-3

Let the diviser be x.

As per question,

(-512) / x = 8^-1

(-2^9) /x = 2^-3

(-2^9) /(2^-3) = x

-2 power (9+3) = x

X= -2 power 12

X= (-2^12)

......... (Because 1/2^-3= 2^3)