Understanding Rational Exponents and Solving Equations

The video tutorial explains how to solve an equation using rational exponents. It begins by expressing the square root of x as x to the one-half and simplifies the equation step by step. The process involves multiplying exponents and using the reciprocal power to find the final solution, which is x equals two to the power of eight-sevenths.

What is the rational exponent form of the inner square root of x?

• x to the power of 2/3

• x to the power of 1/2

• x to the power of 1/3

• x to the power of 3/2

When powers are raised to powers, what operation is performed on the exponents?

• Subtraction

• Multiplication

• Addition

• Division

What is the expression for x when x times x to the 3/4 is simplified?

• x to the power of 7/4

• x to the power of 5/4

• x to the power of 9/4

• x to the power of 11/4

To solve for x, to what power should both sides of the equation be raised?

• 8/7

• 3/4

• 4/3

• 7/8

What is the final expression for x after solving the equation?

• x equals two to the power of 3/4

• x equals two to the power of 7/8

• x equals two to the power of 8/7

• x equals two to the power of 4/3