Learn how to apply the power rule with fractional powers

The video tutorial explains how to handle exponents raised to another power by multiplying them, specifically focusing on fractions. It demonstrates the process of simplifying exponents and rewriting them as radical expressions. The tutorial further delves into simplifying cube roots by finding linear factors and extracting groups of three. The final simplification shows that the cube root of 64 is 4, concluding the lesson.

What is the result of multiplying the exponents 1/2 and 4/3?

• 8 to the power of 4/6

• 8 to the power of 2/3

• 8 to the power of 1/6

• 8 to the power of 3/4

How can the expression 8 to the power of 2/3 be rewritten?

• As the cube root of 8 cubed

• As the fourth root of 8

• As the cube root of 8 squared

• As the square root of 8

What is the cube root of 64 simplified to?

• 16

• 8

• 4

• 2

Which of the following is a linear factorization of 64?

• 16 * 4

• 8 * 8

• 4 * 4 * 4

• 2 * 2 * 2 * 2 * 2 * 2

How many groups of three can be taken from the linear factorization of 64?

• Two groups

• Four groups

• Three groups

• One group