Simplifying Multiplied Exponential Expressions

Professor Von Schmohawk introduces the concept of exponents, explaining how numbers raised to a power are equivalent to repeated multiplication. The lecture covers the rules for multiplying exponential expressions with the same base by adding their exponents. It also explains mathematical expressions, terms, and variables, and demonstrates how to simplify exponential expressions using these rules. Examples include expressions with both variables and numerical bases, showing how to combine like terms and simplify complex expressions.

What is the result of multiplying exponential expressions with the same base?

• Add their exponents

• Divide their exponents

• Subtract their exponents

• Multiply their exponents

What is a group of numbers and/or letters combined using mathematical operations called?

• Formula

• Mathematical expression

• Function

• Equation

What are letters used to indicate any possible number called?

• Coefficients

• Constants

• Variables

• Operators

How can you indicate that two variables are multiplied?

• Using parentheses

• Using a division sign

• Writing them next to each other with nothing in between

• Using a plus sign

What happens when the same variable is used more than once in an expression?

• It represents the same value throughout the expression

• It must be divided

• It cannot be simplified

• It represents different values

What is the simplified form of x^5 * x^3?

• x^15

• x^8

• x^5

• x^2

How do you simplify x^3 * x?

• x^6

• x^2

• x^4

• x^3

What is the simplified form of a^4 * a * a^3?

• a^8

• a^7

• a^6

• a^9

What is the result of simplifying 2^3 * 2^4?

• 2^12

• 2^7

• 2^1

• 2^6

What is the simplified form of 2^5 * 3^3 * x^4 * y^7 * z^2?

• 128 * 81 * x^4 * y^7 * z^2

• 864

• 32 * 27 * x^4 * y^7 * z^2

• 2^5 * 3^3 * x^4 * y^7 * z^2