Question

Fatima evaluated the expression when m = -2 and n = 4. Her work is shown below.

Answer 1

Answer: -She applied the exponent -2 to 4(-2) instead of applying the exponent to just -2.

Step-by-step explanation:

The work of Fatima is the next one:

She starts with the equation:

$\frac{4m^{-3}n^{-2} }{m^{-1}n^{2} }$

Now, she simplifies:

$\frac{4m^{-3}n^{-2} }{m^{-1}n^{2} }$ = $4m^{-3 - (-1)} m^{-2 -1} = 4m^{-2} n^{-3}$

Now she replaces the values of n and m:

$4(-2)^{-2} (4)^{-3}$

And here she makes her error, she transforms the:

4*(-2)^-2 into (-8)^-2

So the exponent that only was affecting the -2, is now affecting the product 4*(-2)

Then the answer is the third option:

"-She applied the exponent -2 to 4(-2) instead of applying the exponent to just -2."

Answer 2

Answer:

The answer to your question is: third option is correct.

Step-by-step explanation:

The third option is correct

                                           4(-2)⁻²(4)⁻³

                                           $\frac{4}{(2)^{2}(4)^{3}}}$