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Write the expression in exponential form.start root, start index, 7, end index, x, to the power 4 , end root7 x 4 ​

Question

Write the expression in exponential form.

x477x4\sqrt[7]{x^{4}} \cdot 7 \cdot x^{4}

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Solution

The expression "start root, start index, 7, end index, x, to the power 4 , end root" in exponential form is x^(4/7).

Here's the step-by-step process:

  1. Identify the base (x) and the exponent (4). In a root, the base is the number being taken to a power and the exponent is the power it's being raised to.
  2. Identify the index of the root (7). The index of a root is the number that tells us what type of root we're dealing with (e.g., square root, cube root, etc.). In this case, it's a seventh root.
  3. Write the base followed by the exponent divided by the index. In exponential form, a root can be written as a fraction with the exponent as the numerator and the index as the denominator.
  4. So, the seventh root of x to the power of 4 is written in exponential form as x^(4/7).

This problem has been solved

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