Exponent Rules

 $\left(a^2\right)^4$  

•  $a^6$  

•  $a^8$  

•  $a^2$  

•  $a^{-2}$  

 $\left(a^2b\right)^8$  

•  $a^{16}b$  

•  $a^{10}b$  

•  $a^{16}b^8$  

•  $a^{10}b^8$  

When you raise a power to a power, what do you do to the exponents? 
(i.e.  $\left(8^2\right)^4$  )

• Multiply the exponents.

• Add the exponents.

• You flip the fraction.

• The answer is 1.

When you multiply powers with the same base, what do you do to the exponents? 
(i.e.  $\left(8^2\right)\left(8^4\right)$  )

• Multiply the exponents.

• Add the exponents.

• You flip the fraction.

• The answer is 1.

When you have a zero as an exponent, what happens? 
(i.e.  $\left(8^2\right)^0$  )

• Multiply the exponents.

• Add the exponents.

• You flip the fraction.

• The answer is 1.

When you have a negative exponent? 

• Multiply the exponents.

• Add the exponents.

• You flip the fraction.

• The answer is 1.

 $\left(3c^2d^4e\right)\left(4d^3e\right)$  

•  $12c^2d^7e$  

•  $12c^2d^{12}e^{ }$  

•  $12c^2d^7e^2$  

•  $12c^2d^{12}e^2$  

 $\left(8_{ }^2\right)^0$  

•  $8^2$  

•  $1$  

•  $8^0$  

•  $-1$  

 $3x^2\times9y\times2x^4$  

•  $54x^6y$  

•  $18x^6y$  

•  $18x^8y$  

•  $54x^8y$  

 $\left(5x^2\right)^2\times\left(4x^5y^3\right)^2$  

•  $41x^{40}y^6$  

•  $41x^{14^{ }}y^6$  

•  $400x^{40}y^6$  

•  $400x^{14}y^6$