Learn how to simplify an expression raised to fractional powers

The video tutorial explains the power product rule, which allows the distribution of an exponent across terms in a product. The instructor demonstrates how to apply this rule by raising each term to a given power, specifically the 1/2 power in this example. The process involves multiplying exponents when a power is raised to another power. The tutorial also covers rewriting expressions using radicals and simplifying negative exponents by writing them as reciprocals. The final expression is simplified to 5Y cubed over X to the 4th power.

What does the power product rule allow you to do with exponents?

• Subtract them

• Distribute them across terms

• Ignore them

• Add them together

When you have a power raised to another power, what operation should you perform?

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

• Add the exponents

How is the expression 25^(1/2) simplified?

• As 5

• As 25

• As 10

• As 1

What is the result of multiplying Y^6 by 1/2?

• Y^3

• Y^9

• Y^12

• Y^1

What is the final expression obtained after simplification?

• 5Y^3 / X^4

• 5X^4 / Y^3

• X^4 / 5Y^3

• Y^3 / 5X^4