Exponents and Roots Problem Set

The video tutorial explains how to solve equations with rational exponents. It covers two examples, demonstrating the use of reciprocal powers to simplify and solve the equations. The first example involves raising both sides of the equation to the reciprocal power to isolate the variable. The second example follows a similar approach, with additional steps to simplify the equation before applying the reciprocal power. The tutorial concludes with a summary of the solutions and encourages viewers to find the content helpful.

What is the key property of exponents used to solve equations with rational exponents?

• Adding the exponents

• Multiplying the exponents

• Dividing the exponents

• Subtracting the exponents

In the first equation, what is the reciprocal power used to simplify the equation?

• 5/3

• 3/2

• 3/5

• 2/3

What is the 5th root of 32?

• 2

• 5

• 4

• 3

After finding the 5th root of 32, what is the next step to solve for x in the first equation?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

In the second equation, what is the first step to simplify the equation?

• Multiply both sides by 5

• Add 5 to both sides

• Divide both sides by 5

• Subtract 5 from both sides

What is the reciprocal power used to simplify the second equation?

• 2/3

• 3/5

• 3/2

• 5/3

What is the square root of 25?

• 6

• 5

• 7

• 4

What is the result of 5 cubed?

• 150

• 100

• 120

• 125

After solving for 2x - 1 = 125, what is the next step to find x?

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by 2

• Divide both sides by 2

What is the final solution for x in the second equation?

• 63

• 65

• 64

• 62