Question

What is the product? (3a^2b^4)(-8ab^3)

Answer 1

-24a^3b^7 you multiply the two numbers and add the exponents.

Answer 2

-24a^3 b^7

Explanation:

(3a^2b^4)(-8ab^3)

Step 1: Multiply the coefficients

= -24a^2. b^4. a. b^3

Step 2: Using the exponent rule : a^m.a^n = a^(m +n)

If we have to the same base, we can add the powers.

Applying the rule, we get

= -24.a^(2 +1).b^(4 +3)

= -24a^3 b^7.

Answer is -24a^3 b^7.

Hope this will helpful.

Thank you.