Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

phiBest ResponseYou've already chosen the best response.1
use the idea \[ b^{a}\cdot b^c = b^{a+c} \]
 2 years ago

phiBest ResponseYou've already chosen the best response.1
It comes down to adding up small integers.
 2 years ago

phiBest ResponseYou've already chosen the best response.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
 2 years ago

phiBest ResponseYou've already chosen the best response.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
 2 years ago

phiBest ResponseYou've already chosen the best response.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
 2 years ago
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
 Engagement 19 Mad Hatter
 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.