Question
What is the product of (3y^-4)(2y^-4)
Answers
Answered by
GPT 3.5
To find the product of (3y^-4)(2y^-4), we can multiply the coefficients (3*2 = 6) and multiply the variables with the same base (y) by adding their exponents.
The exponent rule for multiplying variables with the same base is: x^a * x^b = x^(a+b)
So, y^-4 * y^-4 = y^(-4 + -4) = y^-8
Therefore, the product of (3y^-4)(2y^-4) is 6y^-8.
The exponent rule for multiplying variables with the same base is: x^a * x^b = x^(a+b)
So, y^-4 * y^-4 = y^(-4 + -4) = y^-8
Therefore, the product of (3y^-4)(2y^-4) is 6y^-8.