Question

Simplify (x²y^(-1))³ and use only positive exponents.

Answer 1

To simplify (x²y^(-1))³ and use only positive exponents, you need to cube the coefficient, x², and cube the variable term, y^(-1), before combining them.

Step-by-step explanation:

To simplify the expression (x²y^(-1))³ and use only positive exponents:

1. Start by cubing the coefficient, which is x². x² * x² * x² = x^(2*3) = x^6.
2. Next, cubed the variable term with the negative exponent, which is y^(-1). y^(-1) * y^(-1) * y^(-1) = y^((-1)*3) = y^(-3).
3. Combine the results from steps 1 and 2 to get the simplified expression: x^6 * y^(-3).

So, the simplified expression is x^6 * y^(-3).

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