Simplifying Expressions with Exponents

The video tutorial explains how to simplify mathematical expressions with negative exponents. It covers four examples, demonstrating the application of exponent rules to rewrite expressions without negative exponents. The tutorial emphasizes the importance of moving terms between the numerator and denominator to change the sign of exponents and provides step-by-step guidance for each example. By the end, viewers should understand how to simplify expressions by applying exponent rules effectively.

What is the main goal when simplifying expressions with negative exponents?

• To change the base of the expression

• To eliminate negative exponents

• To increase the value of the expression

• To add more terms to the expression

In the first expression, what happens to the exponent of M when it is moved to the numerator?

• It becomes negative

• It becomes positive

• It remains the same

• It becomes zero

What is the simplified form of 2 / M^9 when M^9 is moved to the numerator?

• M^9 / 2

• 2 / M^9

• 2 * M^9

• 2 * M^-9

How is the expression 21 / 7M simplified?

• 3 / M

• M / 3

• 21 / M

• 7 / M

What is the result of applying the power of a power rule to (3 / M)^-2?

• M^-2 / 3^-2

• M^2 / 3^2

• 3^-2 / M^-2

• 3^2 / M^2

What is the simplified form of M^2 / 3^2?

• M^2 / 9

• 9 / M^2

• M^2 * 9

• 3^2 / M^2

When dividing Y^7 by Y^-6, what is the resulting exponent of Y?

• Y^13

• Y^-13

• Y^0

• Y^1

What is the equivalent expression of Y^13 / 7?

• Y^7 / 13

• 7 / Y^13

• Y^13 * 7

• Y^13

In the final example, what is the simplified form of P^-6 / P^-9?

• P^-15

• P^15

• P^-3

• P^3

What operation is performed on the exponents when dividing like bases?

• Division

• Multiplication

• Subtraction

• Addition