Exponent Rules and Properties

The video tutorial explains how to simplify expressions using exponent rules. It covers the zero power rule, handling negative exponents, and the commutative property of multiplication. The tutorial also demonstrates squaring terms, multiplying exponents, and simplifying expressions with quotients. Each example is broken down step-by-step to illustrate the application of these rules.

What is the result of any number raised to the power of zero?

• The number itself

• Negative one

• Zero

• One

Which property allows us to change the order of multiplication without affecting the product?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

How do you simplify an expression with a negative exponent?

• Multiply by zero

• Add the exponent to one

• Subtract the exponent from one

• Move the base to the denominator

What is the simplified form of 5 squared?

• 10

• 15

• 20

• 25

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

• Divide them

• Subtract them

• Add them

• Multiply them

What is the result of raising a power to another power?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

How do you simplify a quotient of powers with the same base?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents

What happens to the exponent when a base is moved across the fraction bar?

• It remains the same

• It changes sign

• It doubles

• It becomes zero

In the expression A^-7 / A^3, what is the simplified exponent of A?

• 4

• 10

• -10

• -4

If B has a positive exponent in a fraction, where does it remain?

• Denominator

• Exponent

• Numerator

• Outside the fraction