Here are the essential concepts you must grasp in order to answer the question correctly.
Radicals
Radicals are expressions that involve roots, such as square roots, cube roots, and higher-order roots. In this context, the expression ⁵√y¹⁸ represents the fifth root of y raised to the 18th power. Understanding how to manipulate radicals is essential for simplifying expressions involving roots.
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Exponent Rules
Exponent rules govern how to simplify expressions involving powers. For instance, when taking the root of a power, the exponent can be divided by the root's index. In this case, y¹⁸ can be simplified using the rule that states ⁵√(y^n) = y^(n/5), which is crucial for simplifying the given expression.
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Introduction to Exponent Rules
Factoring
Factoring is the process of breaking down an expression into simpler components, often to simplify or solve equations. In the context of radicals, factoring can help identify perfect powers that can be simplified further. Understanding how to factor expressions is key to simplifying the radical expression effectively.
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