To solve the equation \( r^5 - 6 = -1 \), the steps would be:
Step 1: Add 6 to both sides of the equation. \[ r^5 - 6 + 6 = -1 + 6 \] This simplifies to: \[ r^5 = 5 \]
Step 2: Take the fifth root of both sides (or raise both sides to the power of \( \frac{1}{5} \)): \[ r = 5^{1/5} \]
So, the order of the steps is:
Step 1: Add 6 to both sides.
Step 2: Take the fifth root of both sides.