Exploring Powers and Exponents

This lesson introduces powers and exponents, explaining the basic vocabulary and concepts. It provides examples to illustrate how to use base numbers and exponents, and discusses the special names for powers like squared and cubed. The lesson also covers prime factorization using exponents and includes independent practice exercises to reinforce learning. Students are encouraged to follow along in their books and practice writing powers as products of the same factor.

What is the term for the number that is used as a factor in repeated multiplication?

• Factor

• Product

• Base

• Exponent

If you have a base of 4 and an exponent of 2, how would you write it using multiplication?

• 4 + 4

• 4 x 4

• 4 x 2

• 4 x 4 x 4

How would you express 7 to the 3rd power using multiplication?

• 7 x 3

• 7 x 7

• 7 x 7 x 7

• 7 + 7 + 7

What is the special name for a number raised to the second power?

• Cubed

• Squared

• Quadrupled

• Powered

What is the special name for a number raised to the third power?

• Powered

• Quadrupled

• Squared

• Cubed

How would you write 3 to the 4th power using multiplication?

• 3 x 4

• 3 x 3 x 3 x 3

• 3 x 3 x 3

• 3 + 3 + 3 + 3

What is the prime factorization of 72 using exponents?

• 2 x 3^3

• 2^4 x 3

• 2^2 x 3^3

• 2^3 x 3^2

If the base is 10 and the exponent is 2, how would you write it?

• 10 x 2

• 10^2

• 10^3

• 2^10

How would you express 8 to the 4th power using multiplication?

• 8 x 8 x 8

• 8 x 4

• 4 x 4 x 4 x 4

• 8 x 8 x 8 x 8

What is the value of 9 to the 3rd power?

• 243

• 729

• 81

• 27