Asked by Fayza
It says here Write as a single power, then evaluate. Express answers in rational form.
⁴√18× ⁴√9 ÷ ⁴√2
18^(1÷4)× 9^(1÷4) ÷2^(1÷4)
My problem here is I couldn't find a way to get all the numbers to have the same base so I could continue to the answer please help
⁴√18× ⁴√9 ÷ ⁴√2
18^(1÷4)× 9^(1÷4) ÷2^(1÷4)
My problem here is I couldn't find a way to get all the numbers to have the same base so I could continue to the answer please help
Answers
Answered by
Reiny
since all 3 factors have an exponent of 1/4
you can say:
⁴√18× ⁴√9 ÷ ⁴√2
= (18x9÷2)^(1/4)
= 81^(1/4)
= 3
(one of the basic exponent rules:
(a^n)(b^n) = (ab)^n
you can say:
⁴√18× ⁴√9 ÷ ⁴√2
= (18x9÷2)^(1/4)
= 81^(1/4)
= 3
(one of the basic exponent rules:
(a^n)(b^n) = (ab)^n
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.