Laws of Exponents

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Simplify the following:
(x³)⁶

• x⁹
• x¹⁸
• x⁶
• x³

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

Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide

According to exponent rules, when we divide two terms with the same base we _______ the exponents.
Example:

 $\frac{h^8}{h^3}$  

• add

• subtract

• multiply

• divide

According to power rule, we _______ the exponents when a power is being raised to a power.

Example: (d²)⁵

• add

• subtract

• multiply

• divide

Simplify   (2m⁴)(5m²)

• 10m⁶
• 10m⁸
• 7m⁶
• 7m⁸

Can you leave a negative exponent in your answer?

• YES
• NO

Simplify:  $\frac{12x^5y^4}{2x^9y}$  

•  $6x^{-4}y^3$  

•  $\frac{6y^3}{x^4}$  

•  $\frac{12y^3}{2x^4}$  

•  $\frac{6x^{-4}}{y^3}$  

Simplify:  $\left(3x^5\right)^6$  

•  $18x^{30}$  

•  $729x^{11}$  

•  $3^6x^{30}$  

•  $729x^{30}$  

Simplify:  $\left(4y\right)^{-3}$  

•  $\frac{1}{64y^3}$  

•  $64y^{-3}$  

•  $-12y^{-3}$  

•  $\frac{64}{y^3}$