## Adorkable 4 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. zbay

no

2. Mandolino

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

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

4. Mandolino

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. Mandolino

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

You truly are a lifesaver. Thanks :)

7. Mandolino

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