Negative Exponents and Simplification

This 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 a reciprocal. The lesson includes examples with numbers and fractions, practice problems, and advanced examples using quotient and power rules. The video concludes with final practice problems and a preview of the next topic, scientific notation.

What is the main objective of today's lesson?

• To solve quadratic equations

• To learn about zero exponents

• To evaluate expressions with negative integer exponents

• To understand positive exponents

How can a power with a negative exponent be rewritten?

• By taking the reciprocal and making the exponent positive

• By multiplying the base by zero

• By adding 1 to the exponent

• By subtracting 1 from the exponent

What is 4 to the power of negative 2 equal to?

• 16

• 1/16

• 4

• 1/4

What does a negative exponent represent?

• A whole number

• A fractional amount less than one

• A number greater than one

• A negative number

How do you simplify one-half to the power of negative 3?

• 1/8

• 1/2

• 8

• 2

What is the reciprocal of 5 to the power of negative 1?

• 5

• 25

• 1/5

• 1/25

How do you simplify x to the power of negative 6?

• x^-6

• 1/x^6

• 6x

• x^6

What is the result of 4 to the power of 5 minus 7?

• 4^2

• 4^-2

• 4^0

• 4^1

What is any number raised to the power of zero equal to?

• The number itself

• 1

• Infinity

• 0

How do you simplify 8a to the power of negative 3 divided by a to the 7th?

• 1/8a^10

• 8a^10

• 8/a^10

• 8a^4