Question

((4y²)/(3x²y⁶))³ Write your answer using only positive exponentials.

Answer 1

To cube the given expression ((4y²)/(3x²y⁶))³, we need to cube the terms inside the parentheses. The numerator becomes 64y⁶ and the denominator becomes 27x⁶y⁸. The final expression is (64y⁶)/(27x⁶y⁸).

Step-by-step explanation:

To cube the given expression ((4y²)/(3x²y⁶))³, we need to cube the terms inside the parentheses.

Starting with the numerator, (4y²)³ is equal to 4³ × (y²)³, which simplifies to 64y⁶.

Moving on to the denominator, (3x²y⁶)³ becomes 3³ × (x²)³ × (y⁶)³, resulting in 27x⁶y⁸.

Putting it all together, the final expression is (64y⁶)/(27x⁶y⁸).