Law of Exponents QUIZ

What rule do would you use if two similar bases were multiplied when they have exponents?

Example:  $x^{2\ }\cdot x^3=x^5$  

• 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?

Example: $\frac{x^3}{x^2}=x^1$  

• 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.

Example:

 $\left(x^2\right)^4$  

• 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

 $x^3\cdot x^7=?$  

Use the Product Rule to simplify this expression: *Use Notes*

•  $x^{10}$  

•  $x^4$  

•  $x^{-4}$  

•  $x^{21}$  

 $\frac{c^3}{c^1}=?$  

Use the Quotient Rule to simplify this expression:

•  $c^2$  

•  $c^2$  

•  $c^{15}$  

 $w^{-2}=?$  

•  $w^4$  

•  $w^2$  

•  $\frac{1}{w^2}$  

• w

 $\left(-2\right)^0$  

Simplify this expression:

• 0

• -2

• x

• 1