Whats the product of terms for
(4a^2c^4)(3b^4c) ?
^ = exponenets.
Is this exactly the way the terms are presented in our text book?
(4a^2c^4)(3b^4c)
= 12a^2b^4c^5
The a and b exponents stay the same because you are not multiplying them by another same term with an exponent. C now has an exponent of 5, because when you are multiplying like terms with exponents, you add the exponents together. c^4 times c would be c^5. (No exponent on a term is considered to be 1).
To find the product of the terms (4a^2c^4)(3b^4c), you need to multiply the coefficients and combine the variables with the same bases.
Step 1: Multiply the coefficients.
The coefficients in this case are 4 and 3, so we multiply them together:
4 * 3 = 12
Step 2: Multiply the variables for each base.
The variables in this case are a, c, and b. We multiply them together separately for each base:
a^2 * b^4 = a^2b^4
c^4 * c = c^5
Step 3: Combine the results.
Now we have the coefficients and variables multiplied separately:
12 * a^2b^4 * c^5
Therefore, the product of the terms (4a^2c^4)(3b^4c) is 12a^2b^4c^5.