These students were asked to simplify: 2⋅3^−4/5^−2

Question

Adam wrote: 2•5²/3⁴
Nick wrote: 5²/2•3⁴
Shane wrote: 2⋅3⁴/5²

Responses

Shane is correct because all that needs to be done is to make the negative exponents positive.

None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.

Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.

Adam is correct because the negative exponent moves the base to the other side of the fraction bar and makes the exponent positive

Answer 1

The correct response is: None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.

Answer 2

Are you sure

Answer 3

Yes, I am sure. The correct way to simplify the expression is by adding the exponents in the numerator and subtracting the exponents in the denominator.