Law of Exponents

Rewrite each expression with a negative exponent.
¹/_12⁴

• ¹/_12^-4

• 12⁴

• ¹/_20,736

• 12^-4

• 2y²⁴

• 2¹⁰

• 2y¹⁰

• 2y¹⁴

Simplify (7a²)(5a⁶b)²

• 35a¹⁴b²

• 175a¹²b²

• 175a¹⁴b²

• 35a¹⁴b

• Product Rule - Add the Exponents, but keep the same base

• Quotient Rule - Subtract the Exponents, but keep the same base

• Zero Exponent Rule

• Negative Exponent Rule

What rule should you use if similar bases are being divided by each other and they have exponents?

• Zero Product Rule - Multiply Zeros

• Quotient Rule - Subtract the exponents and keep the same base

• Divide 3 by 2

• Product Rule - Multiple exponents and change the base

Whenever there is a Zero in the exponent, the answer is always...

*This is the Zero Exponent Rule*

• One

• Five

• x

• Zero

When a base number is raised to a power, and then to another power, the ________ rule must be used.

• Quotient Rule

• Exponent Rule

• Negative Exponent Rule

• Power Rule

The Negative Exponent Rule says... if there is a Negative Exponent you must take the reciprocal and turn the exponent positive before you do anything else.

• True

• False

Simplify the expression. 
(6x²)(-3x⁵)

• 18x⁷

• -18x⁷

• 18x⁷

• 3x⁷

Simplify: x ∙ x ∙ x ∙ x ∙ x  ∙ x

• x⁶

• 6x

• x³

• 6x⁶