Final answer:
To simplify the expression y¹/⁵⋅y¹/⁶ and write it in simplest radical form, we can combine the exponents by multiplying the base numbers. The expression y¹/⁵⋅y¹/⁶ can be written in simplest radical form as y²/³.
Step-by-step explanation:
To simplify the expression y¹/⁵⋅y¹/⁶ and write it in simplest radical form, we can combine the exponents by multiplying the base numbers. In this case, y¹/⁵⋅y¹/⁶ becomes y¹/⁵⁺¹/⁶, which simplifies to y²/³.
Therefore, the expression y¹/⁵⋅y¹/⁶ can be written in simplest radical form as y²/³.