Exploring the Law of Exponents

This video tutorial covers the laws of exponents, including multiplying and dividing equal bases, raising a power to another power, handling negative exponents, and understanding the zero power rule. It provides examples and explanations to help students simplify expressions using these laws.

What is the base in the expression 2^5 = 32?

• None of the above

• 32

• 5

• 2

What does 2^5 mean?

• 2 + 2 + 2 + 2 + 2

• 2 * 2 * 2 * 2 * 2

• 2^5 = 10

• None of the above

What is the result of x^2 * x^4?

• x^6

• x^4

• x^2

• x^8

Which law of exponents states that x^a * x^b = x^(a+b)?

• Third Law

• Fourth Law

• First Law

• Second Law

What is the result of x^5 / x^2?

• x^3

• x^7

• x^2.5

• x^10

Which law of exponents states that x^a / x^b = x^(a-b)?

• First Law

• Third Law

• Fourth Law

• Second Law

What is the result of (x^3)^2?

• x^8

• x^9

• x^6

• x^5

Which law of exponents states that (x^a)^b = x^(a*b)?

• Fourth Law

• Third Law

• Second Law

• First Law

How do you make a negative exponent positive?

• Subtract 1 from the exponent

• Move it to the opposite part of the fraction

• Multiply by -1

• Add 1 to the exponent

What is any number raised to the zero power equal to?

• Undefined

• The number itself

• 1

• 0