Which expression is equivalent to
(3x^3y^-4)^-2
Recall that when you raise a power to another power, you multiply the exponents.
In this case, we have (3x^3y^-4)^-2.
To simplify, we first distribute the exponent -2 to each term inside the parentheses:
(3^-2)(x^3·-2)(y^-4·-2).
Next, we simplify further:
(1/3^2)(x^6)(y^8).
Finally, we simplify even further:
1/9x^6y^8.
Therefore, the expression (3x^3y^-4)^-2 is equivalent to 1/9x^6y^8.