Question

Divide 12a8b3 by 3a2b.
4a^4b^3
4a^6b^2
4a^6b^3
4a^10b^4

Answer 1

4a^6b^2

Explanation:

12a^8b^3 / 3a^2b

Use the rules of exponents to simplify the expression.

12^1 a^8b^3 / 3^1a^2b^1

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

12^1/3^1 a^8−2b^3−1

Subtract 2 from 8.

12^1/3^1 a^6b^3−1

Subtract 1 from 3.

12^1/3^1 a^6b^2

Divide 12 by 3.

Therefore, the answer is B. 4a^6b^2