Question

can I take a picture of my question instead because it's too hard to write out

Answer 1

The property that we need to use to solve this problem is:

$\frac{x^a}{x^b}=x^{a-b}^{}$

It means that we need to subtract the exponent of the denominator from the exponent of the numerator.

Now, Andre made a mistake because he didn't take into account that the exponent of the denominator is negative, so when we make the subtraction we get two negative signs that can be transformed into a positive one as:

$\frac{7^4}{7^{-3}}=7^{4-(-3)^{}}=7^{4+3}=7^7$

Answer: 7^7