196k views
1 vote
Which of the following is the simplified form of ^7√x • ^7√x • ^7√x?

A. x^(3/21)
B. x^(3/7)
C. ^21√x
D. x^(1/7)

1 Answer

1 vote

Final answer:

The simplified form of ^7√x • ^7√x • ^7√x is found by adding the exponents of the same base and radical, resulting in x^(3/7), which is option B.

Step-by-step explanation:

The simplified form of the expression ^7√x • ^7√x • ^7√x involves understanding the properties of exponents and radicals. When we multiply expressions with the same base and radical, we add the exponents. In this case, since the root is the same (seventh root), we can think of each ^7√x as having an implicit exponent of 1/7. Therefore, when we multiply these three expressions together, we're effectively adding their exponents:

(x^(1/7)) • (x^(1/7)) • (x^(1/7)) = x^((1/7)+(1/7)+(1/7)) = x^(3/7).

Hence, the correct simplified form of ^7√x • ^7√x • ^7√x is x^(3/7), which corresponds to option B.

User Jishad
by
8.9k points

Related questions

asked Feb 14, 2024 153k views
Sukhpal Singh asked Feb 14, 2024
by Sukhpal Singh
8.8k points
1 answer
1 vote
153k views
asked Nov 18, 2024 30.5k views
Samuel RIGAUD asked Nov 18, 2024
by Samuel RIGAUD
8.0k points
1 answer
4 votes
30.5k views
asked Jul 24, 2024 1.3k views
Linefeed asked Jul 24, 2024
by Linefeed
7.7k points
1 answer
4 votes
1.3k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories