Question

What is the result if you divide –12x8y8 by 3x4y2?
a. 4x4y6
b. 4x2y4
c. –4x2y4
d. –4x4y6

Answer 1

When dividing two numbers with the same base but with different powers, you subtract the second power from the first and keep the base. So in our case, -12*x^8*y^8 / 3*x^4*y^2 = -4*x^4*y^6. The correct answer is d.

Answer 2

Answer:

option d is correct

$-4x^4y^6$

Step-by-step explanation:

Using exponent rules:

$\frac{a^n}{a^m} = a^{n-m}$

Given that:

If you divide $-12x^8y^8$ by $3x^4y^2$

⇒$\frac{-12x^8y^8}{3x^4y^2}$

⇒$\frac{-4x^8y^8}{x^4y^2}$

Using exponent rules, we have;

⇒$-4x^{8-4}y^{8-2}$

⇒$-4x^4y^6$

Therefore, If you divide $-12x^8y^8$ by $3x^4y^2$ we get; $-4x^4y^6$