Final answer:
To simplify the expression ∛x⁶y⁴, divide the exponents by 3 and write out the remaining exponents inside the cube root symbol.
Step-by-step explanation:
To simplify the expression ∛x⁶y⁴, we need to break down the expression into its prime factors. Since we're taking the cube root of x raised to the power of 6 and y raised to the power of 4, we can simplify the expression by dividing the exponents by 3:
∛x⁶y⁴ = ∛x²∛y²
Therefore, the simplified expression is ∛(x²y²).