Zero Exponents, Negative Exponents, and Product Rule

Zero Exponents, Negative Exponents, and Product Rule

Zero Exponent Rule

• Anything raised to the power zero is 1

• a⁰=1

Multiple Choice

 $\left(2x\right)^0$  

• 0

• 1

• 2x

• 2

Multiple Choice

 $\left(x^2y^3\right)^0$  

• 0

• 1

•  $x^2y^3$  

Multiple Choice

 $\left(\frac{\left(x^3y^5\right)\left(xy\right)^2}{x^2y^6}\right)^0$  

• 0

• 1

Negative Exponents

• Turn into a fraction (if its not already)

• Bring the power with the negative exponent to the opposite side of the fraction (top or bottom)

• Change the exponent to positive

•  $a^{-m}=\frac{1}{a^m}$  

Multiple Choice

 $x^{-2}$  

•  $x^2$  

•  $\frac{1}{x^2}$  

•  $\frac{1}{x^{-2}}$  

Multiple Choice

 $x^3y^{-4}$  

•  $\frac{x^3}{y^4}$  

•  $\frac{x^3}{y^{-4}}$  

•  $\frac{1}{x^3y^4}$  

Multiple Choice

 $\frac{c^{-3}}{d^{-2}}$  

•  $\frac{d^2}{c^3}$  

•  $\frac{1}{c^3d^2}$  

•  $c^3d^2$  

Product Rule

• add the exponents for the bases that are the same

•  $a^m\cdot a^n=a^{m+n}$  

Multiple Choice

 $x^4\cdot x^3$  

•  $x^7$  

•  $x^{12}$  

Multiple Choice

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

•  $x^6y^6$  

•  $x^8y^9$