A1 7-1

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7-1 Multiplication

Properties of Exponents

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If you are multiplying two or
more numbers with the
same base, ADD the
exponents

Product of powers

Power to power

Product of powers and power to power

If you have a
variable/number to a power
and it has a power,
MULTIPLY the powers

Multiple Choice

Simplify the following expression:

a⁶ ⋅ a⁴

• a⁶⁴

• a²⁴

• a¹⁰

Multiple Choice

Simplify the following expression:

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

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Examples

1. 2.

Simplify each expression

Multiple Choice

Which cartoon had these lyrics in its theme song: "Birthday cake, large fries, chocolate shake!"

• Loud House

• Fairly Oddparents

• Fanboy & Chum Chum

• Rugrats

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Examples

3. 4.

Simplify each expression

Multiple Choice

Simplify the following expression:

a²(a³)(a⁶)

• a¹¹

• a³⁶

• a20

• 3a¹²

Multiple Choice

Simplify the following expression:

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Multiple Choice

Simplify the following expression:

(-2f²g³)³

• 8f⁵g⁶
• - 8f⁵g⁶
• - 8f⁶g⁹
• 8f⁶g⁹

Draw

Brain Break:

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Examples

5. 6.

Simplify each expression

Multiple Choice

Simplify the following expression:

(9w²x⁸)(w⁶x⁴)

• 9w⁸x¹²

• 9w¹²x³²

• 81w⁸x¹²

• 81w¹²x³²

Multiple Choice

Simplify the following expression:

(7a²)(5a⁶b)²

• 35a¹⁴b²
• 175a¹²b²
• 175a¹⁴b²
• 35a¹⁴b

Poll

How do you feel about the lesson so far?

• I completely understand

• I don't understand at all

• I understand a little