Exponent Laws: Product, Quotient, and Power Rules

This video tutorial reviews three key rules for simplifying expressions with exponents: the product of powers, quotient of powers, and power of a power rules. Each rule is explained with examples, demonstrating how to simplify expressions by adding, subtracting, or multiplying exponents. The tutorial emphasizes understanding the logic behind these rules and provides tips for memorization.

What does the Product of Powers rule state about the exponents when multiplying with the same base?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

If you have 6^3 * 6^4, what is the simplified form according to the Product of Powers rule?

• 36^7

• 6^12

• 6^24

• 6^7

What is the base in the expression 6^3 * 6^4 according to the Product of Powers rule?

• 3

• 4

• 6

• 12

How do you simplify expressions using the Quotient of Powers rule?

• Multiply the exponents

• Subtract the exponents

• Add the exponents

• Divide the exponents

Given 10^5 / 10^2, what is the result according to the Quotient of Powers rule?

• 10^2.5

• 10^3

• 10^10

• 100^3

In the Quotient of Powers rule, if the base is the same, what operation do we perform on the exponents?

• Multiplication

• Division

• Addition

• Subtraction

What is the result of 10^5 / 10^2 using the Quotient of Powers rule?

• 10^3

• 10^25

• 10^2.5

• 100^3

What does the Power to a Power rule indicate about simplifying (a^m)^n?

• Multiply m and n

• Divide m by n

• Add m and n

• Subtract n from m

If you have (8^4)^3, what is the simplified expression according to the Power to a Power rule?

• 64^3

• 8^12

• 8^7

• 8^64

According to the Power to a Power rule, how do you simplify (2^3)^4?

• 6^4

• 2^7

• 8^4

• 2^12