Exponential Functions and Exponents

The video covers basic exponent properties, including multiplication, division, zero, and negative exponents. It explains how to evaluate exponential functions without a calculator and demonstrates techniques for rewriting exponential expressions. The lesson emphasizes understanding and applying exponent rules to simplify and manipulate expressions.

What is the main focus of Unit 4 in Algebra 2?

• Exponential functions

• Quadratic functions

• Linear equations

• Trigonometric identities

Which property allows you to add exponents when multiplying like bases?

• Product of powers property

• Quotient of powers property

• Zero exponent property

• Power of a power property

How do you simplify (x^5) * (x^2)?

• x^10

• x^7

• x^2

• x^3

What is the result of raising a power to another power, such as (x^a)^b?

• x^(a/b)

• x^(a-b)

• x^(a*b)

• x^(a+b)

How do you simplify x^12 / x^3?

• x^9

• x^15

• x^4

• x^3

What is the value of any non-zero number raised to the power of zero?

• 1

• Undefined

• 0

• The number itself

How is a negative exponent interpreted?

• As repeated addition

• As repeated subtraction

• As repeated multiplication

• As repeated division

What is the value of 2^-3?

• 1/8

• 8

• 1/2

• 2

In the function f(x) = 20 * 2^x, what does the base 2 represent?

• The slope

• The rate of change

• The initial value

• The y-intercept

What is the y-intercept of the function f(x) = 20 * 2^x?

• 2

• 0

• 1

• 20