Simplifying Simple Expressions with 0 and Negative Exponents

The video tutorial explains the rules of exponents, focusing on zero and negative exponents. It begins with a review of basic exponent rules, such as adding and subtracting exponents when multiplying or dividing expressions with the same base. The tutorial then explores the concept of raising a number to the zero power, demonstrating that any base raised to the zero power equals one. It further delves into negative exponents, showing that a base raised to a negative exponent is equivalent to one over the base raised to the positive exponent. The video concludes with a chart illustrating these concepts, reinforcing the understanding of exponent rules.

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

• You subtract the exponents.

• You divide the exponents.

• You multiply the exponents.

• You add the exponents.

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

• The number itself

• Negative one

• Zero

• One

If 2 to the power of zero equals 1, what does 3 to the power of zero equal?

• Negative three

• Zero

• Three

• One

What does a negative exponent indicate about the base?

• The base is negative.

• The base is zero.

• The base is in the denominator.

• The base is squared.

How can 2 to the power of negative three be expressed?

• 1 over 2 to the power of three

• 2 to the power of three

• Negative 2 to the power of three

• 2 times 3

What happens to the value of an expression as the exponent decreases by one?

• It becomes negative.

• It halves.

• It remains the same.

• It doubles.

What is the value of 2 to the power of negative one?

• Negative 2

• 1

• 1/2

• 2