Which of the following should be done to both sides of the equation x12=6

Question

to solve the value of x
?(1 point)
Responses

multiply by 6
multiply by 6

multiply by 12
multiply by 12

multiply by −12
multiply by negative 12

divide by 12

Answer 1

To solve the equation \( x^{12} = 6 \) for \( x \), you should take the 12th root of both sides. To do this appropriately, you can divide by 12 in the exponent. The correct response from the provided options would be:

divide by 12

However, what you'd typically do is raise both sides to the power of \( \frac{1}{12} \) to isolate \( x \):

\[ x = 6^{\frac{1}{12}} \]