Exponents Explained: Rules and Applications

This video tutorial by Catherine covers simplifying expressions with positive exponents. It begins with a review of exponents, explaining the base and power. The tutorial then introduces various exponent rules: product rule, quotient rule, power to a power rule, multiply distributive rule, and divide distributive rule. Each rule is explained with examples, and viewers are encouraged to practice. The video concludes with combining these rules in complex expressions, emphasizing the importance of practice.

What does the exponent tell us in an expression like a to the M?

• How many times a is multiplied by itself

• How many times a is divided by itself

• How many times a is subtracted from itself

• How many times a is added to itself

What is the result of 3 to the fourth power?

• 64

• 81

• 12

• 27

What is the product rule of exponents?

• Divide the exponents

• Subtract the exponents

• Add the exponents

• Multiply the exponents

What is the quotient rule of exponents?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

What does the power to a power rule entail?

• Multiplying the exponents

• Dividing the exponents

• Subtracting the exponents

• Adding the exponents

How do you apply the multiply distributive rule?

• Distribute the exponent over addition

• Distribute the exponent over subtraction

• Distribute the exponent over multiplication

• Distribute the exponent over division

What is the result of (XY)^3 using the multiply distributive rule?

• X^3 + Y^3

• XY^6

• X^3Y^3

• X^6Y^6

How does the divide distributive rule work?

• Distribute the exponent over addition

• Distribute the exponent over multiplication

• Distribute the exponent over subtraction

• Distribute the exponent over division

What is the result of (a^2/b^3)^7 using the divide distributive rule?

• a^14/b^21

• a^10/b^15

• a^5/b^8

• a^7/b^10

How do you simplify expressions combining multiple exponent rules?

• By applying the rules one at a time in any order

• By applying the rules all at once

• By applying division rules before multiplication rules

• By applying multiplication rules before division rules