Laws of Exponents Review (Honors)

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

• add

• subtract

• multiply

• divide

Anything raised to a power of zero is always:

• 0

• 1

• itself

• negative

Negative Exponent Law states: you must change the exponent to a positive by doing what?

• just change it to positive

• move to the bottom of fraction bar

• move it to the opposite side of fraction bar

Simplify

• 
• 
• 
• 

 $9x^6y^2\cdot5x^2y^3$  

•  $14x^8y^5$  

•  $14x^{12}y^6$  

•  $45x^8y^5$  

•  $45x^{12}y^6$  

•  $45x^8y^6$  

 $\frac{18w^{15}v^{10}}{6w^3v^2}$  

•  $12w^{12}v^8$  

•  $3w^{12}v^8$  

•  $3w^5v^5$  

•  $12w^5v^5$  

• 9a⁸ / 4b²

• 9b² / 4a⁸

• 9a⁴b⁶ / 4

• 9a⁴ / 4b²

 $7a^4b\cdot\left(-3a^5b^6\right)^2$  

•  $63a^{40}b^{12}$  

•  $-42a^{40}b^{12}$  

•  $-63a^{14}b^{13}$  

•  $63a^{14}b^{13}$  

 $\left(\frac{2y^0}{2x^4y^4\cdot x}\right)^2$  

•  $\frac{1}{x^{10}y^8}$  

•  $\frac{4y^6}{x}$  

•  $\frac{x^{10}}{2y}$  

•  $\frac{x^{16}}{y^3}$  

 $\left(\frac{2u^2\cdot2u}{2u^2v^0}\right)^2$  

•  $\frac{64v^{60}}{u^{42}}$  

•  $\frac{8v^5}{u^5}$  

•  $4u^2$  

•  $\frac{1}{u^{24}v^{32}}$