Final answer:
To simplify the expression x²/³y/x²/³y¹/³, we subtract the exponents and combine terms with the same base.
Step-by-step explanation:
In order to simplify the expression x²/³y/x²/³y¹/³ into its simplest exponential form, we need to apply the rules of exponents. First, when dividing exponential terms with the same base, we subtract the exponents:
x²/³y/x²/³y¹/³ = x²/³y - x²/³y¹/³
Simplifying further, we can use the rule of dividing exponential terms by subtracting the exponents:
x²/³y - x²/³y¹/³ = x²/³y - ¹/³ = x²/³y - ¹/³y¹/³
Combining the terms with the same base under a common denominator, we have:
x²/³y - ¹/³y¹/³ = (x² - ¹)/³y