Laws of Exponents

Simplify:  $8\left(x^4\right)^{\frac{1}{2}}$  

•  $4x^2$  

•  $8x^2$  

•  $4x^4$  

•  $8x^4$  

Which expression is equivalent to  $\frac{x^2y^2z^2}{4y^4}$  ?

•  $4y^6$  

•  $y^6$  

•  $\frac{x^2z^2}{4y^2}$  

•  $4x^2y^6z^2$  

Simplify: $4x^5\cdot6x^{10}$  

•  $24x^{15}$  

•  $10x^{15}$  

•  $\sqrt{24x^{15}}$  

•  $\sqrt{10x^{15}}$  

Which expression represents the product of  $\left(2x^2y^2\right)\left(3x^3y^3\right)$ ?

•  $6x^6y^6$  

•  $5x^5y^5$  

•  $5x^6y^6$  

•  $6x^5y^5$  

Which expression represents the product of  $\left(abc\right)\left(3c\right)$ ?

•  $3abc^3$  

•  $3abc^2$  

•  $4abc^3$  

•  $3c^2$  

Simplify:  $\left(s^2r^{-4}\right)\left(s^6r^{-2}\right)$  

•  $\frac{s^8}{r^6}$  

•  $\frac{s^{15}}{r^8}$  

•  $r^6s^8$  

•  $r^7s^{13}$  

Simplify:  $\frac{12r^{15}}{2r^3}$  

•  $72r^3$  

•  $72r^{27}$  

•  $6r^3$  

•  $6r^{12}$  

Power to a Power Law states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

Division Law states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

Simplify:
(3t²)³

• 9t⁶
• 9t⁵
• 27t⁶
• 27t⁵