Exploring Zero and Negative Exponents

This video lesson by Kirk Wier from eMath Instruction covers zero and negative exponents in Algebra 1. It begins with an introduction to the concepts, explaining that zero exponents equal one and negative exponents represent division. The lesson reviews exponent laws, including the third law of subtracting exponents when dividing like bases. Examples are provided to illustrate these concepts, and the lesson concludes with a summary of key points.

What is the main topic of this lesson?

• Algebraic expressions

• Zero and negative exponents

• Fractional exponents

• Positive integer exponents

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

• One

• Undefined

• Zero

• The number itself

Why is zero to the power of zero considered undefined?

• Because it equals infinity

• Because it equals zero

• Because it equals one

• Because it has no consistent value

What does a negative exponent indicate?

• Multiplication

• Addition

• Subtraction

• Division

What is the value of 2^-3?

• 8

• 2

• 1/8

• 1/2

Which of the following is not equivalent to 5^-2?

• 1/25

• 5^-2

• 1/10

• 1/5^2

What is the value of f(2) if f(x) = 3 * x^-2 + 2 * x^0?

• 2.75

• 2.5

• 3.25

• 4

What is the third major exponent law?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents

What is the result of 3^10 / 3^5?

• 3^2

• 3^5

• 3^15

• 3^3

What does the third exponent law state about dividing two quantities with the same base?

• You divide their exponents

• You subtract the exponent of the denominator from the exponent of the numerator

• You multiply their exponents

• You add their exponents