Pre-Algebra 21 - Exponentiation

Professor Von Schmohawk introduces exponentiation as a mathematical operation that is shorthand for repeated multiplication, similar to how multiplication is shorthand for repeated addition. The lecture explains how to express numbers raised to powers, such as squaring and cubing, and demonstrates how to combine exponential expressions. It covers the rules for multiplying and dividing exponential expressions with the same base, emphasizing the addition and subtraction of exponents. The lecture concludes with a summary of these rules and hints at further exploration of exponents in the next lecture.

What is exponentiation a shorthand for?

• Repeated division

• Repeated addition

• Repeated subtraction

• Repeated multiplication

What is the term used when a number is raised to the second power?

• Doubled

• Cubed

• Quadrupled

• Squared

How can individual exponential expressions be combined?

• By using basic arithmetic operations

• By using only addition

• By using only multiplication

• By using only subtraction

What happens when you multiply two exponential expressions with the same base?

• You subtract the exponents

• You add the exponents

• You multiply the exponents

• You divide the exponents

What is the result of dividing 5 to the seventh power by 5 to the fourth power?

• 5 to the third power

• 5 to the first power

• 5 to the eleventh power

• 5 to the fourth power

How do you find the result of dividing exponential expressions with the same base?

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

What will be explored in the next lecture regarding exponents?

• The use of exponents in calculus

• The application of exponents in geometry

• The history of exponents

• The meaning of exponents of 1, 0, or any negative integer