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perform the operation and simplify completely show all work. properties of expoenents/ super helpful property.

perform the operation and simplify completely show all work. properties of expoenents-example-1
User Odino
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1 Answer

4 votes

The rule of multiplication of the exponents is


a^m.a^n=a^(m+n)

We will use this rule with our question


x^{(5)/(9)}.x^{(2)/(3)}

We must add the fractions 5/9 and 2/3

To add fractions they must have the same denominators

Since the lowest common factor of 9 and 3 is 9, then


(5)/(9)+(2)/(3)=(5)/(9)+(2*3)/(3*3)=(5)/(9)+(6)/(9)=(11)/(9)

Then the expression is


x^{(5)/(9)}.x^{(2)/(3)}=x^{(5)/(9)+(2)/(3)}=x^{(11)/(9)}

User Karan Thakkar
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