Negative Exponents

The video lesson on negative exponents explains how to evaluate expressions with negative integer exponents. It covers the property of negative exponents, showing that a negative exponent indicates the reciprocal of the base raised to the positive exponent. The lesson includes examples with both whole numbers and fractions, demonstrating how to rewrite expressions with negative exponents into their simplest form. The video also provides practice exercises and discusses the use of quotient and power rules for simplification. The lesson concludes with a preview of the next topic, scientific notation.

What is the main objective of the lesson on negative exponents?

• To memorize exponent rules

• To understand the history of exponents

• To evaluate expressions with negative integer exponents

• To learn how to add exponents

How can a power with a negative exponent be rewritten?

• By multiplying the base by 2

• By adding 1 to the exponent

• By taking the reciprocal and making the exponent positive

• By subtracting 1 from the exponent

What is the equivalent expression for 4 to the negative 2?

• 1/4

• 16

• 4 squared

• 1/16

If 1/2 is raised to the negative 3, what is the equivalent positive exponent expression?

• 2 cubed

• 1/2 cubed

• 1/8

• 2 squared

What is the result of simplifying 5 to the negative 1?

• 5

• 1/25

• 1/5

• 5 squared

When using the quotient property, what operation is performed on the exponents?

• Subtraction

• Division

• Addition

• Multiplication

What is the simplest form of 8a to the negative 3 divided by a to the 7th?

• 8a to the 10th

• 8/a to the 10th

• 1/8a to the 10th

• 8a to the negative 10th