Here are the essential concepts you must grasp in order to answer the question correctly.
Radical Expressions
Radical expressions involve roots, such as square roots or fourth roots, which are used to express numbers in terms of their base and exponent. In this question, the fourth root (∜) is applied to the expressions 81x⁶y³ and 16x¹⁰y³. Understanding how to simplify and manipulate these expressions is crucial for performing the indicated operations.
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Properties of Exponents
The properties of exponents govern how to handle expressions involving powers. Key rules include the product of powers, quotient of powers, and power of a power. In this problem, recognizing how to apply these properties when simplifying the terms after taking the fourth root is essential for accurate calculations.
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Simplifying Expressions
Simplifying expressions involves reducing them to their simplest form, which can include combining like terms and factoring. In the context of this question, after calculating the fourth roots, it is important to simplify the resulting expressions to arrive at a final answer. This skill is fundamental in algebra for clarity and efficiency in problem-solving.
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