Simplifying Expressions with Negative Exponents

This video tutorial covers simplifying expressions with negative exponents. It begins with an introduction to exponents and negative exponents, explaining how they affect the size of numbers. The tutorial then moves on to simplifying expressions using negative exponents, demonstrating the process with various examples. It emphasizes the importance of integer rules when dealing with negative exponents. The video also covers the application of exponent rules, such as the product, power, and quotient rules, in more complex scenarios. Finally, it provides problem-solving strategies for tackling challenging expressions involving multiple exponent rules.

What is the value of 3 raised to the power of 0?

• 3

• 1

• 0

• 9

What happens to the value of a number when it is raised to a negative exponent?

• It becomes negative

• It remains the same

• It becomes a fraction

• It becomes zero

How do you simplify an expression with a negative exponent, such as a^(-m)?

• Add 1 to the exponent

• Flip the fraction and make the exponent positive

• Subtract 1 from the exponent

• Multiply by -1

What is the simplified form of 2^(-2)?

• 4

• 1/4

• 1/2

• 2

In the expression 5x^(-3), what happens to the variable x when simplified?

• It moves to the denominator

• It stays in the numerator

• It becomes zero

• It becomes positive

How do you handle a negative exponent in the denominator, such as 1/x^(-2)?

• Multiply by -1

• Move it to the numerator and make the exponent positive

• Leave it as it is

• Add 2 to the exponent

What is the simplified form of (3/4)^(-2)?

• 4/3

• 3/4

• 16/9

• 9/16

When combining exponents, what is the result of x^(-3) * x^2?

• x^(1)

• x^(5)

• x^(-1)

• x^(-6)

What is the simplified form of (2x^(-3)y^2)^3?

• 2x^(-9)y^6

• 6x^(-9)y^6

• 8x^(-3)y^2

• 8x^(-9)y^6

How do you simplify the expression (x^2/y^(-3))^(-2)?

• x^(-4)y^(-6)

• x^4y^6

• x^4y^(-6)

• x^(-4)y^6