Exponents and Their Properties

Mr. Holcomb explains negative exponents, starting with definitions and moving through exercises to demonstrate the concept. He covers reciprocal relationships, scientific notation, and expanded form, providing examples and exercises to reinforce learning. The video concludes with a review of exponent rules and additional exercises.

Why can't the base of an exponent be zero?

• Because zero to any power is undefined.

• Because zero to any power equals zero.

• Because zero to any power equals one.

• Because zero to any power is infinite.

What is the reciprocal of a number raised to a negative exponent?

• The number raised to a positive exponent.

• One divided by the number raised to a positive exponent.

• The negative of the number.

• The number itself.

How do you express 3 times 10 to the negative 2 in decimal form?

• 30

• 3.0

• 0.03

• 0.3

What is the expanded form of 4.728 in exponential notation?

• 4 x 10^0 + 7 x 10^-1 + 2 x 10^-2 + 8 x 10^-3

• 4 x 10^1 + 7 x 10^0 + 2 x 10^-1 + 8 x 10^-2

• 4 x 10^0 + 7 x 10^1 + 2 x 10^2 + 8 x 10^3

• 4 x 10^-1 + 7 x 10^-2 + 2 x 10^-3 + 8 x 10^-4

What is the result of 5 to the negative 3?

• 125

• 1/125

• 1/5

• 5

How do you simplify 1 over 8 to the 9th power?

• 8 to the 0 power

• 1 over 8 to the negative 9th power

• 8 to the negative 9th power

• 8 to the 9th power

What is the result of 3 times 2 to the negative 4?

• 16/3

• 3/8

• 3/16

• 8/3

What happens when you multiply two exponents with the same base?

• You subtract the exponents.

• You multiply the exponents.

• You divide the exponents.

• You add the exponents.

What is the result of dividing two exponents with the same base?

• You divide the exponents.

• You add the exponents.

• You subtract the exponents.

• You multiply the exponents.

How do you express 7/5 to the negative 4 in terms of separate exponents?

• 7 to the negative 4 over 5 to the negative 4

• 7 to the 4 times 5 to the negative 4

• 7 to the 4 over 5 to the 4

• 7 to the negative 4 times 5 to the 4