When you are multiplying something such as (3x^5y^4)(2x^2y)...do you add or subtract the exponent thingies?? AHHHHHHHHHHHH.
You add exponents when multiplying, and subract the exponents that are in the denominator (or in a divisor).
For the two terms that you wrote, the product would be 6 x^7 y^5
Ohmigosh...thank you sooo much! Your my hero!
When multiplying expressions with exponents, you need to remember the rule of exponents called the "product rule." According to the product rule, when you multiply two terms with the same base, you add their exponents.
In this case, you are multiplying (3x^5y^4) and (2x^2y). Let's break it down:
Step 1: Multiply the coefficients: 3 * 2 = 6.
Step 2: Multiply the variables with the same base, which in this case is x. Add the exponents together: x^5 * x^2 = x^(5+2) = x^7.
Step 3: Multiply the variables with the same base, which in this case is y. Add the exponents together: y^4 * y^1 = y^(4+1) = y^5.
Putting it all together, the multiplication of (3x^5y^4)(2x^2y) simplifies to 6x^7y^5.
So, when multiplying terms with exponents, you add the exponents for variables with the same base.