How to write a radical into a term with rational exponents

The video tutorial explains the process of converting expressions between radical and exponential forms. It begins by introducing the concept of exponential form and how it relates to radicals. The tutorial then moves on to demonstrate the conversion of rational expressions to radical form and vice versa. It also covers the method of changing negative exponents to positive ones, providing a clear understanding of the mathematical principles involved. The video concludes by encouraging viewers to practice the concepts learned.

What is the relationship between the power and the root in exponential expressions?

• The power is subtracted from the root.

• The power is the same as the root.

• The power is divided by the root.

• The power is multiplied by the root.

Which of the following is true about the conversion from radical to exponential form?

• It involves subtracting the root from the power.

• It involves multiplying the power by the root.

• It involves dividing the power by the root.

• It involves adding the root to the power.

When converting from rational to radical form, what is a crucial step?

• Multiplying the numerator by the denominator.

• Adding the numerator to the denominator.

• Working backwards from the rational form.

• Dividing the numerator by the denominator.

How can a negative exponent be expressed in positive form?

• By multiplying the base by the exponent.

• By subtracting the exponent from the base.

• By taking the reciprocal of the base raised to the positive exponent.

• By adding the exponent to the base.

What is the result of converting C to the power of -5/3 into positive exponent form?

• C to the power of 5/3

• 1 over C to the power of 5/3

• C to the power of -5/3

• 1 over C to the power of -5/3