3 years ago

How do you convert powers to the same base if the bases don't have common factors?

Mathematics

1 answer:

Yuri [45]3 years ago

8 0

Answer:

6²

Step-by-step 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 = 6²

_____

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

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

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