Simplifying Expressions with Negative Exponents

The video tutorial covers simplifying expressions with negative exponents. It begins with an introduction to exponents, explaining how they work and their properties. The tutorial then delves into negative exponents, illustrating how they result in smaller values and how to simplify expressions involving them. Various examples are provided to demonstrate the application of exponent rules, including the product, power, and quotient rules. The tutorial concludes with complex examples that integrate multiple exponent rules, emphasizing the importance of understanding integer rules and order of operations.

What is the value of 3 raised to the power of 2?

• 3

• 27

• 6

• 9

What happens to the value of a number when the exponent increases?

• It decreases

• It increases slowly

• It increases rapidly

• It remains the same

What is the value of any number raised to the power of 0?

• 0

• Undefined

• 1

• The number itself

What is 3 raised to the power of -2?

• 3

• 9

• 1/3

• 1/9

How do you simplify an expression with a negative exponent?

• Add the exponent

• Subtract the exponent

• Ignore the exponent

• Flip the fraction and make the exponent positive

What is the simplified form of 2 to the power of -2?

• 4

• 1/4

• 1/2

• 2

When multiplying expressions with the same base, what do you do with the exponents?

• Add them

• Subtract them

• Divide them

• Multiply them

What is the result of 2 to the power of 3?

• 9

• 6

• 8

• 12

How do you handle a fraction raised to a negative exponent?

• Subtract the fraction

• Square the fraction

• Flip the fraction

• Multiply the fraction

What is the simplified form of 60y / x^2?

• 60 / yx^2

• 60x^2 / y

• 60 / x^2y

• 60y / x^2