given the expression:
4^5 x 4^-7/4^-2
we are to fin what the above expression is equal to.
first one thing we must understand they all have same base which is 4
4^5 x 4^-7/4^-2
since they have the same base we will use the laws of indices of multiplication and division
the law of multiplication states that if the have have the same base, we add the powers while the laws of division states that if they have same base, we subtract the powers
so lets deal with tah of division first
4^5 x 4^-7-(-2)
4^5 x 4^-7+2
4^5 x 4^-5
using the law of multiplication
4^5+(-5)
4^5-5
4^0
therefore, the correct option is the first option which is 4^0