Learn how to solve an equation where both sides are raised to 1 half power

The video tutorial explains the concept of rational powers and their equivalence to square roots. It demonstrates solving a linear equation by applying the power rule, where exponents are multiplied. The instructor then rewrites the equation using square roots to verify the solution, ensuring no extraneous solutions are present.

What is the equivalent of raising a number to the 1/2 power?

• Dividing the number by 2

• Raising the number to the power of 2

• Taking the square root of the number

• Multiplying the number by 2

What is the result of applying the power rule to an exponent raised to another power?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

In the equation 7 - X = 2X + 13, what is the first step to solve for X?

• Add 13 to both sides

• Subtract X from both sides

• Multiply both sides by 2

• Add X to both sides

What is the value of X in the equation 7 - X = 2X + 13?

• X = 3

• X = -2

• X = -3

• X = 5

How do you verify that a solution to an equation is not extraneous?

• By checking if the solution satisfies the original equation

• By graphing the equation

• By solving the equation again

• By using a calculator