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Which of the following is the simplified form of the seventh root of x times the seventh root of x times the seventh root of x ? (2 points) x to the 3 over seventh power x to the 1 over seventh power x to the 3 over 21st power the 21st root of x

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aachen

Answer:

Option A is correct, i.e. x to the 3 over seventh power.

Step-by-step explanation:

Given the problem is (the seventh root of x) times (the seventh root of x) times (the seventh root of x)

i.e. x^(1/7) times x^(1/7) times x^(1/7)

Using the formula, a^m times a^n = a^(m+n).

x^(1/7) times x^(1/7) times x^(1/7) = x^(1/7 + 1/7 + 1/7)

x^(1/7) times x^(1/7) times x^(1/7) = x^(3/7)

We can read it as "x to the 3 over seventh power".

Hence, option A is correct, i.e. x to the 3 over seventh power.

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