Question

PLEASE HURRY!! which expression is equivalent???

Answer 1

Explanation:

b^(-2) / ab^(-3)

= 1/a * [b^(-2)/b^(-3)]

= 1/a * b = b/a.

P.S. Law of Indices: a^m / a^n = a^(m-n)

Answer 2

Answer:
`(b)/(a)`

Explanation:

A variable raised to a negative exponent p is equivalent to 1 divided by the variable raised to a positive exponent p.

In this equation, this rule applies to both b variables as follows:

`b^(-2) = (1)/(b^2)`

`(1)/(b^(-3)) = (1)/((1)/(b^3) ) = (b^3)/(1)`

After 'solving' for each negative exponent, you can plug them into the previous negative exponents:

`(1)/(b^2) * (b^3)/(a) = (b^3)/(ab^2)`

Afterwards, cancel out b^2 from the top and bottom of the equation to get your final answer, as b^2 / b^2 = 1

`(b)/(a)`