Can anyone other than ms. Sue help me?
-12x^8y^8 divided by 3x^4y^2
A. –4x2 y4 C. –4x4y6
B. 4x2y4 D. 4x4y6
I ended up with -4x^4y^2 but its not one of my answer choices.. I am not sure if many I missed a step or if I jist did it completely wrong. PLEASE HELP..
C. –4x4y6
-12 divide by 3 is -4 and when dividing exponents, it will be subtracted, e.g. y^8 divided by y^2 is y^6
Good luck :)
Thank you so much!♡
To solve this division problem, you need to apply the rules of exponents. Here's the step-by-step solution:
Step 1: Divide the numerical coefficients: -12 divided by 3 equals -4.
So far, the expression becomes -4x^8y^8 divided by x^4y^2.
Step 2: Apply the rule of division with exponents: When dividing with the same base, you subtract the exponents.
So, x^8 divided by x^4 is x^(8-4) = x^4.
Similarly, y^8 divided by y^2 is y^(8-2) = y^6.
After applying the rule, the expression simplifies to -4x^4y^6.
Out of the answer choices provided, the correct answer is D. 4x^4y^6. It seems you made a mistake along the way and ended up with the wrong sign.