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 cube roots. In the given equation, the cube root of a product is present, which requires understanding how to manipulate and simplify expressions involving radicals. Recognizing how to isolate the radical and eliminate it through exponentiation is crucial for solving the equation.
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Exponents and Powers
Exponents represent repeated multiplication of a number by itself. In this problem, understanding how to apply the properties of exponents is essential, especially when dealing with roots. For instance, the cube root can be expressed as raising to the power of one-third, which allows for easier manipulation of the equation.
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Solving Equations
Solving equations involves finding the value of the variable that makes the equation true. This requires isolating the variable through various algebraic techniques, such as adding, subtracting, multiplying, or dividing both sides of the equation. In this case, after simplifying the radical expression, one must carefully perform operations to isolate x and find its value.
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