Select the correct answer to the following equation: −x32=−27

To solve the equation \( -x^{32} = -27 \), we can first eliminate the negative signs from both sides:

\[ x^{32} = 27 \]

Next, we need to solve for \( x \) by taking the 32nd root of both sides:

\[ x = 27^{1/32} \]

Since \( 27 = 3^3 \), we can rewrite it:

\[ x = (3^3)^{1/32} = 3^{3/32} \]

This means \( x \) is a positive number because any even root of a positive number is also positive.

Thus, the equation has one valid solution, and while none of the provided responses are the 32nd root of 27, it confirms there is **no solution, the answer cannot be negative** is incorrect because we have a positive solution.

Therefore, out of the given options, the closest and most relevant responses would be:

**no solution, the answer cannot be negative** - is still technically incorrect.

None of the provided answers are exactly correct since \( x \) is a positive value around \( 1.5 \) but since we are tasked to select among the incorrect provided options, I'd say:

**no solution, the answer cannot be negative** (though this is misleading given there is a solution, but no options match the actual solution).