(Q5.) Simplify rational exponent expression

TL;DR

Learn how to simplify an expression with fractional exponents by applying the rules of exponents.

Transcript

okay we're going to simplify this expression we have a parentheses 8x to this we have power y to the negative sixth power and all raised to the negative one-third power and then all over actually one of a fourth power as long as we follow the word of operation with the exponents we can make this happen and over to first years take care of the paren... Read More

Key Insights

• 😑 The rules of exponents are essential for simplifying expressions with fractional exponents.
• 😑 Distributing the exponents inside the parentheses allows us to simplify the expression.
• 🤘 Negative exponents can be fixed by bringing the term down to the denominator and changing the sign.

Questions & Answers

Q: How do you simplify an expression with fractional exponents?

To simplify an expression with fractional exponents, you need to distribute the exponents inside the parentheses and then multiply the exponents of the variables together.

Q: Can you simplify a fraction exponent by reducing the exponents?

Yes, you can simplify a fraction exponent by reducing the exponents. For example, if you have 3/6, you can reduce it to 1/2.

Q: What do you do with negative exponents in an expression?

When you have negative exponents in an expression, you bring the whole term down to the denominator and make them positive exponents.

Q: How do you convert a fraction exponent to a radical notation?

To convert a fraction exponent to a radical notation, you take the denominator as the root and the numerator as the exponent.

Summary & Key Takeaways

• The video teaches how to simplify an expression with fractional exponents using the rules of exponents.

• Step 1: Distribute the exponents inside the parentheses.

• Step 2: Multiply the exponents of the variables together.