Exponential Notation Concepts

Mrs. Lopez introduces Module 1, focusing on exponential notation. She explains the concept of exponents, base numbers, and how to express repeated multiplication efficiently. The lesson includes examples with whole numbers, fractions, and negative numbers, emphasizing the importance of parentheses. Students learn to determine the sign of products based on the exponent's parity and practice rewriting numbers using specific bases. The session concludes with exercises and solutions to reinforce understanding.

What is the base number in the expression 3^5?

• 15

• 3

• 5

• 8

How would you express 5 multiplied by itself 6 times using exponential notation?

• 5^6

• 6^5

• 5^5

• 6^6

Which of the following is the correct way to write negative four elevenths to the third power?

• (-4/11)^3

• -4/11^3

• 4/11^3

• (-4)^3/11

If an exponent is even, what will be the sign of the product?

• Positive

• Negative

• Zero

• Undefined

Josie claims that negative 15 multiplied by itself six times is negative 15 to the sixth power. Is she correct?

• Yes, she is correct

• No, parentheses are needed

• No, it should be positive

• Yes, but only if the exponent is odd

How can you express 9 using 3 as a base in exponential notation?

• 3^3

• 9^2

• 3^2

• 9^3

What is the result of 3^4?

• 64

• 27

• 81

• 12

Which expression represents 243 using 3 as a base?

• 3^5

• 3^4

• 3^3

• 3^6

What is the significance of parentheses in exponential notation?

• They double the exponent

• They are optional

• They include the negative sign

• They change the base

If x is multiplied by itself 185 times, how is it expressed in exponential notation?

• x^186

• x^185

• 185^x

• x^184