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(18) \( C^{4} * \sqrt[5]{C^{4}} \)

Ask by Mcdonald Mccoy. in the United Kingdom
Oct 31,2024

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\( C^{4}\sqrt[5]{C^{4}} \)

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The Deep Dive

To simplify \( C^{4} * \sqrt[5]{C^{4}} \), you first need to express the square root in exponential form. The fifth root of \( C^{4} \) can be written as \( C^{4/5} \). Now you have: \[ C^{4} * C^{4/5} \] When multiplying expressions with the same base, you add the exponents: \[ C^{4 + 4/5} = C^{20/5 + 4/5} = C^{24/5} \] So, the final answer is: \[ C^{\frac{24}{5}} \] Which represents a delightful expression of C raised to a power! Now you’re ready to tackle more complex algebraic expressions with confidence!

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