## anonymous 5 years ago Dividing and Multiplying with like bases. If the variables are the same, but the coefficients are not. Does It still count as "Like Bases?"

1. anonymous

no

2. anonymous

The variable bases are separate from numerical factors. Each number or variable is considered separately. So the answer is yes.

3. anonymous

$2a ^{8}\times a ^{5}\times7a ^{2}$ So I can just add the exponents?

4. anonymous

For example $12a^5b^3/(6a^2b^7)$ would simplify as $2a^3/b^4$The 12 and 6, the a's and b's are each simplified independently of the the others.

5. anonymous

Yes. Multiply the 2*7=14, and add the exponents 8+5+7=20, thus the answer would be $14a^{20}$

6. anonymous

You truly are a lifesaver. Thanks :)

7. anonymous

Sorry! I misread the third exponent as the 7 instead of 2. The exponent would be 15.

8. anonymous

Lol thanks just confirming.