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Simplify the expression ∛x⁶y⁴

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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).

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