Which expression is equivalent to (3x^3 y^-4)^-2
The expression (3x^3 y^-4)^-2 can be simplified using the power rule for exponents. According to the power rule, when raising a power to another power, the exponents are multiplied.
Therefore, we can rewrite (3x^3 y^-4)^-2 as 3^-2 * (x^3)^-2 * (y^-4)^-2.
Applying the power rule to each term gives us: 9 * x^-6 * y^8.
Finally, we can simplify further by moving the variables with negative exponents to the denominator:
9 * y^8 / x^6.
Therefore, the expression 9y^8 / x^6 is equivalent to (3x^3 y^-4)^-2.