Submit a question to our community and get an answer from real people.
Submit

How do I simplify 3^k x 9^k?

I'm supposed to express it in the simplest form with a prime number base....?
Please explain how you got it too.
3^k x 9^k

Report as

3^k x 9^k = 3^k x (3^2)^k = 3^k x 3^2k = 3^(k+2k) = 3^3k

Helpful (2) Fun Thanks for voting Comments (2)
Report as
Thank- you!
Report as
remember always to add the exponentiation both term base should be same.
Report as
Add a comment...

If I'm not mistaken it'd be 27^2k. You'd multiply the base and add the exponents.

Helpful Fun Thanks for voting Comments (2)
Report as
That was actually my first approach to the answer, but then I got stuck when it said the base has to be a prime number. :/
Report as
Ahh didn't read "prime number base"
Report as
Add a comment...

3^k x 9^k =
3^k x (3 x 3)^k =
3^k x 3^k x 3^k =
3^(k+k+k) =
3^3k. ANSWER

Helpful (1) Fun Thanks for voting Comments (0)
Report as
Add a comment...
Do you have an answer?
Answer this question...
Did you mean?
Login or Join the Community to answer
Popular Searches