Understanding Exponent Properties and Solving Equations

The video tutorial guides viewers through solving an equation using exponent properties. It begins by introducing the necessary exponent rules and rewriting terms with common bases. The tutorial then demonstrates how to equate exponents and solve the equation step-by-step, including clearing fractions and simplifying terms. The process concludes with finding the final solution, ensuring a clear understanding of each step involved.

What is the expression for the square root of 5 using exponents?

• 5 to the power of 3

• 5 to the power of 1/3

• 5 to the power of 1/2

• 5 to the power of 2

How is 25 expressed as a power of 5?

• 5 to the power of 1

• 5 to the power of 2

• 5 to the power of 3

• 5 to the power of 4

What operation is used to clear the fraction in the exponent?

• Multiplying both sides by 2

• Dividing both sides by 2

• Adding 2 to both sides

• Subtracting 2 from both sides

What is the result of squaring both sides of the equation to solve for x?

• x equals 16

• x equals 128

• x equals 32

• x equals 64

What is the final value of x after solving the equation?

• 64

• 80

• 48

• 32