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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.

Fatima evaluated the expression when m 2 and n 4 Her work is shown below What was Fatimas error She subtracted the exponents incorrectly when simplifying the ex class=
Fatima evaluated the expression when m 2 and n 4 Her work is shown below What was Fatimas error She subtracted the exponents incorrectly when simplifying the ex class=

Respuesta :

joseaaronlara

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

                                           [tex]\frac{4}{(2)^{2}(4)^{3}}}[/tex]

                                           

facundo3141592

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:

[tex]\frac{4m^{-3}n^{-2}  }{m^{-1}n^{2}  }[/tex]

Now, she simplifies:

[tex]\frac{4m^{-3}n^{-2}  }{m^{-1}n^{2}  }[/tex] = [tex]4m^{-3 - (-1)} m^{-2 -1} = 4m^{-2} n^{-3}[/tex]

Now she replaces the values of n and m:

[tex]4(-2)^{-2} (4)^{-3}[/tex]

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."