Learn how to use the power rule with fractional powers then simplify

The video tutorial explains the application of the product to power and power to product rules in mathematics. It demonstrates how to handle exponents when they are raised to another power, emphasizing the need to apply the power to each exponent individually. The tutorial further illustrates how to rewrite expressions as radical expressions, using examples like 16 to the 1/2 power, which is equivalent to the square root of 16. The final part of the tutorial involves calculating the final expression, resulting in 4 times x cubed over y squared.

What is the rule when multiplying powers with the same base?

• Multiply the exponents

• Add the exponents

• Divide the exponents

• Subtract the exponents

When an exponent is raised to another power, what operation is performed on the exponents?

• Add the exponents

• Subtract the exponents

• Divide the exponents

• Multiply the exponents

In the expression 16^(1/2), what is the equivalent radical form?

• 1/16

• 16^1

• sqrt(16)

• 16^2

How is Y^(-4/2) simplified?

• 1/Y^4

• Y^4

• 1/Y^2

• Y^2

What is the final simplified form of the expression 16^(1/2) * X^(6/2) * Y^(-4/2)?

• 4/Y^2X^3

• 4X^3/Y^2

• X^3/4Y^2

• 4X^3Y^2