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

what was fatima’s error?

-she subtracted the exponents incorrectly when simplifying the expression.
-she substituted the wrong values for the variables.
-she applied the exponent -2 to 4(-2) instead of applying the exponent to just -2.
-she found an incorrect value for -8^-2 since the value should be negative.

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

Step-by-step explanation:

The third option is correct

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

-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:

Now, she simplifies:

=

Now she replaces the values of n and m:

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."

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