Exploring Exponent Properties

Mr. Allen introduces exponent properties, covering five key rules: multiplying and dividing with like bases, power to a power, negative exponents, and zero exponents. He explains each rule with examples, emphasizing understanding over memorization. The video aims to help students apply these properties correctly in math problems.

What happens to the exponents when we multiply variables with the same base?

• We subtract the exponents

• We multiply the exponents

• We divide the exponents

• We add the exponents

In the expression x^5 * x^4, what is the simplified result?

• x^1

• x^20

• x^0

• x^9

If x^3 * x^4 = x^n, what is the value of n?

• 7

• 12

• 0

• 1

When dividing variables with the same base, what operation do we perform on the exponents?

• Addition

• Subtraction

• Division

• Multiplication

What is the result of x^2 / x^6?

• x^8

• 1/x^4

• x^4

• x^-4

When a variable is raised to a power and then that result is raised to another power, what do we do with the exponents?

• Add them

• Subtract them

• Multiply them

• Divide them

What is the simplified form of (x^5)^4?

• x^0

• x^9

• x^20

• x^1

What does a negative exponent indicate?

• Zero power of the base

• Reciprocal of the base

• Division of the base

• Multiplication of the base

How do we simplify an expression with a negative exponent, like x^-3?

• x^3

• 1/x^3

• -x^3

• -1/x^3

What is the value of any non-zero number raised to the power of zero?

• The base itself

• 0

• Infinity

• 1