When the expression is written using rational exponents, it can be simplified. When two terms with the same base are multiplied, the exponents are added according to the Product of Powers Property.
β£xβ£β
x61βx43ββ
xβ
x31ββ
β£xβ£β
x61βx43ββ
x1β
x31ββ
β£xβ£β
x61βx43β+1+31ββ
To simplify the exponent further, which requires adding and subtracting fractions, the denominators must be made the same. Here, the least is
12. β£xβ£β
x61βx43β+1+31ββ
β£xβ£β
x61βx129β+1+31ββ
β£xβ£β
x61βx129β+1212β+31ββ
β£xβ£β
x61βx129β+1212β+124ββ
β£xβ£β
x61βx1225ββ
Since the expressions in the numerator and the denominator have the same bases,
x, they can be simplified. First, by using the , the expression is written as one term. To simplify the exponent, the denominators must then be made the same.
β£xβ£β
x61βx1225ββ
β£xβ£x1225ββ61ββ
β£xβ£x1213ββ122ββ
β£xβ£x1211ββ