Exponent Rules and Properties

This video tutorial introduces the concept of powers and their properties. It covers the multiplication and division of powers with the same base, the power of a power, and the power of a product or quotient. Each property is explained with examples to illustrate how they simplify calculations. The video concludes by emphasizing the importance of these properties in making calculations easier.

What is the base in the expression 2^3?

• 6

• 3

• 8

• 2

In the expression 2^3, what does the exponent represent?

• The result of the multiplication

• The base

• The sum of the base and exponent

• The number of times the base is multiplied by itself

What is the result of multiplying 0.5^2 by 0.5^5?

• 0.5^3

• 0.5^10

• 0.5^7

• 0.5^2

When multiplying exponents with the same base, what do you do with the exponents?

• Add them

• Subtract them

• Divide them

• Multiply them

What is the result of dividing -5^12 by -5^10?

• -5^1

• -5^22

• -5^0

• -5^2

When dividing exponents with the same base, what do you do with the exponents?

• Divide them

• Subtract them

• Add them

• Multiply them

What is the result of (2/3)^6 raised to the power of 3?

• (2/3)^3

• (2/3)^9

• (2/3)^18

• (2/3)^12

When raising an exponent to another exponent, what do you do with the exponents?

• Multiply them

• Add them

• Subtract them

• Divide them

What is the result of (4*3)^5?

• 4^3 * 3^3

• 4^5 * 3^3

• 4^3 * 3^5

• 4^5 * 3^5

When distributing an exponent over a product, what do you do?

• Apply the exponent to each factor

• Add the factors

• Subtract the factors

• Multiply the factors