Fractional Powers and Their Applications

This video tutorial explains how to work with fractional powers, including simplifying them and applying them to fractions. It covers the basics of fractional powers, how to handle negative powers, and how to apply these concepts to fractions. The video provides examples and strategies for simplifying complex fractional powers, emphasizing the importance of separating the numerator and denominator.

What does the numerator in a fractional power indicate?

• The root to be taken

• The power to raise the number to

• The base number

• The reciprocal of the base

How do you simplify 16 to the power of 1/2?

• Fourth root of 16

• Square root of 16

• Cube root of 16

• 16 raised to the power of 2

What is the result of 27 to the power of 1/3?

• 9

• 3

• 27

• 81

How would you simplify 8 to the power of 2/3?

• Square root of 8

• Fourth root of 8 squared

• Square root of 8 cubed

• Cube root of 8 squared

What is the result of 27 to the power of 5/3?

• 243

• 81

• 27

• 729

How do you handle a negative fractional power?

• Add the power to the base

• Flip the base and make the power positive

• Subtract the power from the base

• Multiply the base by the power

What is the simplified form of 1 over 16 to the power of 3/2?

• 1/8

• 1/16

• 1/4

• 1/64

How do you apply a fractional power to a fraction?

• Multiply the fraction by the power

• Apply the power to both numerator and denominator separately

• Apply the power to the numerator only

• Apply the power to the denominator only

What is the result of (9/16) to the power of 3/2?

• 27/64

• 81/256

• 3/4

• 9/16

How do you simplify (8/125) to the power of -4/3?

• Subtract the power from both numerator and denominator

• Add the power to both numerator and denominator

• Multiply the fraction by the power

• Flip the fraction and apply the power