Exponent Rules

If a number or variable does not have an exponent, we can assume the exponent is:

• 0

• 1

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

• Add

• Subtract

• Multiply

• Divide

 $x^3\cdot x^4\ =$  

•  $x^{12\ }$  

•  $x^{-1}$  

•  $x^7$  

•  $x^{34}$  

 $m^2\cdot m^6\cdot m=$  

•  $m^8$  

•  $m^{12}$  

•  $m^4$  

•  $m^9$  

 $x^{-3}\cdot x^7\cdot x^2$  =

•  $x^6$  

•  $x^{12}$  

•  $x^{-42}$  

•  $x^{-12}$  

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

• Add

• Subract

• Multiply

• Divide

 $\frac{x^9}{x^4}$  =

•  $x^{13}$  

•  $x^{36}$  

•  $x^5$  

•  $x^{-5}$  

 $\frac{x^{17}}{x^8}$  

•  $x^9$  

•  $x^{25}$  

•  $x^{-9}$  

•  $x^{-25}$  

 $\frac{a^5b^{10}}{a^3b^6}=$  

•  $a^8b^{16}$  

•  $a^2b^4$  

•  $a^{15}b^{60}$  

•  $a^2b^{16}$  

Using exponents, simplify the following expression:

(f^-6)(f¹⁰)

• f¹⁶

• f⁴

• 1/f⁴

• 1/f¹⁶