94.3k views
5 votes
How do you convert powers to the same base if the bases don't have common factors?

Example:


3^(2) * 2^(2)
Yes, I know how to solve that, but how would you convert them to the same bases?

1 Answer

4 votes

Answer:

Explanation:

Use the rule of exponents ...

(a·b)^c = a^c·b^c

Your expression has a=3, b=2, c=2.

3²·2² = (3·2)² =

_____

If you want to get more sophisticated than that, logarithms can get involved.


3^2\cdot 2^2=10^{2\log{(3)}+2\log{(2)}}\approx 10^(1.5563025)

User Niemmi
by
7.5k points

No related questions found

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