Learn how to solve an equation with a rational power by cubing both sides

The video tutorial explains how to solve an equation involving rational powers. It begins with isolating the variable Y raised to the 1/3 power, then proceeds to cube both sides of the equation to solve for Y. The solution is verified by substituting back into the original equation to ensure correctness.

What is the initial equation discussed in the video?

• Y to the 1/5 minus 7 equals 0

• Y to the 1/3 minus 7 equals 0

• Y to the 1/2 minus 7 equals 0

• Y to the 1/4 minus 7 equals 0

What operation is performed to isolate Y to the 1/3 in the equation?

• Divide both sides by 3

• Add 7 to both sides

• Multiply both sides by 3

• Subtract 7 from both sides

What is the result of cubing 7 in the process of solving the equation?

• 49

• 21

• 27

• 343

How can you verify that the solution Y = 343 is correct?

• By checking if 343 raised to the 1/5 equals 7

• By checking if 343 raised to the 1/3 equals 7

• By checking if 343 raised to the 1/2 equals 7

• By checking if 343 raised to the 1/4 equals 7

What is the final step to ensure the solution is correct?

• Subtract 7 from 343

• Add 7 to 343

• Divide 343 by 7

• Multiply 343 by 7