Which expression is equivalent to (3x^3y^−4)^−2?

Answer 1

To simplify the expression (3x^3y^−4)^−2, we need to apply the power rule for exponents.

According to the power rule, when a power is raised to another power, you multiply the exponents.

In this case, the exponent outside the parentheses is -2, so multiply the exponents inside the parentheses by -2.

Therefore, the equivalent expression is 3^(-2) * x^(-6) * y^(12)

Simplifying further, we get 1/(9x^6y^12).

So, the answer is 1/(9x^6y^12).