Understanding Exponents and Their Properties

The video tutorial explains how to simplify expressions using expansion and properties of exponents. It covers the power property, which involves multiplying exponents when raising a power to another power, and the product property, which involves adding exponents when multiplying like bases. The tutorial also demonstrates how to evaluate powers using a calculator and provides examples for each concept.

What does the exponent of three indicate in the expression z^2 raised to the 3rd power?

• Three factors of z

• Two factors of z^2

• Three factors of z^2

• Two factors of z

How many factors of Z are there in the expression z^2 raised to the 3rd power after expansion?

• 7

• 4

• 6

• 5

According to the power property of exponents, what is a^m raised to the power of n equal to?

• a^(m+n)

• a^(m-n)

• a^(m*n)

• a^(m/n)

What is the result of a^5 raised to the 11th power using the power property?

• a^50

• a^60

• a^16

• a^55

What is the value of 2^8 when evaluated using a calculator?

• 512

• 1024

• 128

• 256

How many factors of two are there in the expression 2^8?

• 9

• 8

• 6

• 7

What is the product property of exponents when multiplying a^m and a^n?

• a^(m-n)

• a^(m*n)

• a^(m/n)

• a^(m+n)

What is the result of 3^2 * 3^3 using the product property of exponents?

• 3^5

• 3^6

• 3^8

• 3^9

What is the value of 3^5 when evaluated using a calculator?

• 243

• 343

• 81

• 121

How many factors of three are there in the expression 3^5?

• 5

• 6

• 4

• 3