Question

PLEASE HURRY!! which expression is equivalent???

Answer 1

Step-by-step 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:  $\frac{b}{a}$

Step-by-step 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:

$b^{-2} = \frac{1}{b^2}$

$\frac{1}{b^{-3}} = \frac{1}{\frac{1}{b^3} } = \frac{b^3}{1}$

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

$\frac{1}{b^2} * \frac{b^3}{a} = \frac{b^3}{ab^2}$

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

$\frac{b}{a}$