Simplifying Exponent Expressions Laws of Exponents Power Rule

x^-3

• 1/x³

• 1/x^-3

• 3x

• 1/3x

(x²)³

• x⁵

• x⁶

• x¹

• x^-1

Simplify:
x ∙ x ∙ x ∙ x ∙ x  ∙ x

• x⁶

• 6x

• x³

• 6x⁶

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

Simplify the following expression:

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

What rule do you use to simplify the different parts of the expression.

f

e

Power Rule

Power of a Quotient Rule

Power of a Product

Negative Exponent

Quotient Rule

Zero Exponent

Product Rule

Simplify (4xy⁴)³

• 64x³y¹²

• 64xy¹²

• 12x³y¹²

• 7x⁴y⁷

• 16x⁴y⁷

Which answer is the given expression fully simplified?

• 32q⁷/w

• 20q¹⁷w⁹

• 32q⁷w⁹

• 20qw

Which expression is equivalent to the given expression?

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• 
• 
• 

Simplify the following expression:

• 18x²⁵

• 9x¹⁰

• 1

• 18x¹⁰