Exponent Rules and operations

According to exponent rules, when we multiply powers we _______ the exponents.

• add
• subtract
• multiply
• divide

According to exponent rules, when we divide powers we _______ the exponents.

• add
• subtract
• multiply
• divide

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add
• subtract
• multiply
• divide

Simplify:  $6^5\cdot6^2$  

•  $6^7$  

•  $6^3$  

•  $36^7$  

•  $6^{10}$  

Simplify:  $3n^5\cdot5n^{10}$  

•  $15n^5$  

•  $8n^{15}$  

•  $15n^{50}$  

•  $15n^{15}$  

Simplify:  $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$  

•  $16a^8b^9c^9$  

•  $8a^8b^9c^9$  

•  $8a^6b^5c^6$  

•  $16a^5b^5c^6$  

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:  $\left(2m\right)^5$  

•  $10m^5$  

•  $32m^5$  

•  $25m^5$  

•  $\frac{1}{2m^5}$  

Simplify:  $\left(\frac{4}{2d^2}\right)^3$  

•  $\frac{2}{d^2}$  

•  $\frac{8}{d^6}$  

•  $\frac{8}{2d^2}$  

•  $\frac{64}{2d^2}$