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algol [13]
3 years ago
5

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

Mathematics
2 answers:
Irina18 [472]3 years ago
5 0

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."

Kruka [31]3 years ago
4 0

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}}}

                                           

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