asked 87.7k views
20 votes
What is the simplified form of the seventh root of x times the seventh root of x times the seventh root of x times the seventh root of x ? (1 point)

4 times the seventh root of x
x to the four-sevenths power
the seventh root of 4x
x to the seven fourths power

2 Answers

14 votes

Answer: A

Explanation:

on ed

answered
User Bilal Ahmad
by
8.8k points
5 votes

Answer:

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.

answered
User Froi
by
8.5k points
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