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

Tags

CCSS.8.EE.A.1

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

• Divide them

• Multiply them

• Subtract them

• Add them

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the result of multiplying -3 by 4?

• -7

• 12

• -12

• 7

Tags

CCSS.8.EE.A.1

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

Tags

CCSS.8.EE.A.1

What is the simplified form of x^-1?

• 1/x

• x

• x^1

• x^0

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

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

• 5

• 0

• -10

• 10

Tags

CCSS.8.EE.A.1

What is b^0 equal to?

• b

• b^1

• 0

• 1

Tags

CCSS.8.EE.A.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

Tags

CCSS.8.EE.A.1

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

• c/10^9

• 10c^9

• c^9/10

• 10/c^9

Tags

CCSS.8.EE.A.1

What is the final simplified expression in the second example?

• 10c^9

• 10/c^9

• c^9/10

• 10c

Tags

CCSS.8.EE.A.1