Verified Answer :

W0lf93

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, -12x^8y^8 / 3x^4y^2 = -4x^4y^6. The correct answer is d.

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; \(-4x^4y^6\)

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