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.
∣x∣⋅x61x43⋅x⋅x31
∣x∣⋅x61x43⋅x1⋅x31
∣x∣⋅x61x43+1+31
To simplify the exponent further, which requires adding and subtracting fractions, the denominators must be made the same. Here, the least is
12. ∣x∣⋅x61x43+1+31
∣x∣⋅x61x129+1+31
∣x∣⋅x61x129+1212+31
∣x∣⋅x61x129+1212+124
∣x∣⋅x61x1225
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.
∣x∣⋅x61x1225
∣x∣x1225−61
∣x∣x1213−122
∣x∣x1211