Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

smartgirl101

3^5*3^2 9^4*9^5 7^4*7^2

  • one year ago
  • one year ago

  • This Question is Closed
  1. phi
    Best Response
    You've already chosen the best response.
    Medals 1

    use the idea \[ b^{a}\cdot b^c = b^{a+c} \]

    • one year ago
  2. phi
    Best Response
    You've already chosen the best response.
    Medals 1

    It comes down to adding up small integers.

    • one year ago
  3. phi
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you follow?

    • one year ago
  4. smartgirl101
    Best Response
    You've already chosen the best response.
    Medals 0

    NO

    • one year ago
  5. phi
    Best Response
    You've already chosen the best response.
    Medals 1

    The formula is short hand. Match the b in the formula to the base in your question b^a * b^c 3^5 * 3^2 match the b to 3. match the a to 5. match c to 2 Can you do that. Now use this b^a * b^c = b^(a+c) answer is b to the (a+c) power. add up a and c to get the power

    • one year ago
  6. smartgirl101
    Best Response
    You've already chosen the best response.
    Medals 0

    O.K I GOT IT NOW

    • one year ago
  7. phi
    Best Response
    You've already chosen the best response.
    Medals 1

    Here is another way to do this. 3^5 is a short way to write 3*3*3*3*3 (three times itself 5 times) 3^2 is a short way to write 3*3 (three times itself twice) so 3^5 * 3^2 is the same as 3*3*3*3*3 * 3*3 count the number of 3's, and use the short way to write the answer 3^7

    • one year ago
  8. phi
    Best Response
    You've already chosen the best response.
    Medals 1

    Of course, it is faster to use the formula, because doing 3^20 * 3^10 means writing a lot of 3's. It's easier to just add 20+10 and get the answer 3^30

    • one year ago
  9. phi
    Best Response
    You've already chosen the best response.
    Medals 1

    Can you do 9^4*9^5 ?

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.