Question

Can someone please help me asap!!??

Answer 1

b ) a^7/b^6 is the correct answer

Answer 2

`(a^7)/(b^6)` (second option in your list)

Explanation:

Notice that every base with negative exponent can be written with positive exponent on the opposite side of the fraction line, therefore:

The a to the exponent "-4" in the denominator can be written as a to the exponent 4 in the numerator, thus giving two bases a in the numerator, one with exponent 3 and another one with exponent 4 which combined with the rule of product of numbers with same base, leads to the addition ofthe exponents: a to the power 7 in the numerator.

We do something similar with the base b (which in the numerator appears with a "-1" in the exponent), we write it in the denominator with exponent "+1".

Therefore we end up with the following:

`(a^3\,\,b^(-1))/(a^(-4)\,\,b^5)=(a^3\,a^4)/(b^5\,b^1) =(a^7)/(b^6)`