Simplify the following expression. The final answer should contain only positive exponents.

Question

Answers:

a
b
c
d

Answer 1

Using the power rule, we rewrite the numerator:

3(x²y⁵)⁴ = 3x⁸y²⁰

Then the denominator:

(3x³y^-2)² = 9x⁶y^-4

We apply the quotient rule to the new equation:

(3x⁸y²⁰) / (9x⁶y^-4) = (x²y²⁴) / 3

The answer is d.