Here are the essential concepts you must grasp in order to answer the question correctly.
Product Rule
The product rule is a fundamental principle in algebra that states when multiplying two expressions with the same base, you can add their exponents. For example, a^m * a^n = a^(m+n). This rule is essential for simplifying expressions involving roots and powers, allowing for efficient calculations.
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Radical Expressions
Radical expressions involve roots, such as square roots or cube roots. In this case, the sixth root (⁶√) indicates that we are dealing with the expression raised to the power of 1/6. Understanding how to manipulate and simplify radical expressions is crucial for solving problems that involve roots.
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Exponent Rules
Exponent rules govern how to handle powers and roots in algebra. Key rules include the power of a power (a^(m*n) = a^(mn)) and the power of a product (ab)^n = a^n * b^n. These rules are vital for simplifying expressions that involve both multiplication and roots, ensuring accurate calculations.
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