Properties of Exponents and Multiplication

The video tutorial explains how to multiply and simplify algebraic expressions using the commutative property and exponent rules. It demonstrates handling negative exponents by converting them into positive exponents in the denominator. Two examples are provided to illustrate the process of simplifying expressions with negative exponents, ensuring the final expression is in its simplest form.

What property allows us to change the order of multiplication in expressions?

• Identity Property

• Associative Property

• Distributive Property

• Commutative Property

When multiplying variables with the same base, what do we do with the exponents?

• Divide them

• Multiply them

• Subtract them

• Add them

What is the result of multiplying -3 by 4?

• -7

• 12

• -12

• 7

How do we simplify an expression with a negative exponent?

• Multiply by zero

• Convert it to a positive exponent by moving it to the denominator

• Add 1 to the exponent

• Leave it as is

What is the simplified form of x^-1?

• 1/x

• x

• x^1

• x^0

In the second example, what is the product of -2 and -5?

• 5

• 0

• -10

• 10

What is b^0 equal to?

• b

• b^1

• 0

• 1

What happens to the exponent of c when c^-9 is moved to the denominator?

• It becomes -9

• It remains unchanged

• It becomes 9

• It becomes 0

What is the simplified form of 10/c^9?

• c/10^9

• 10c^9

• c^9/10

• 10/c^9

What is the final simplified expression in the second example?

• 10c^9

• 10/c^9

• c^9/10

• 10c