U2 L5 Day 3 Notes - The Power of a Quotient Property

U2 Lesson 5 Day 3

The Power of a Quotient Property

Multiple Choice

-4x⁰

• -4x

• -4

• 1

• -1

Multiple Choice

x⁶ / x²

• x⁴

• x¹²

• x³

• x⁸

Multiple Choice

Simplify the expression:

c⁴⋅c³=

• ^c12

• 2c⁷

• c⁷

Multiple Choice

Simplify the expression shown. Your answer should contain only positive exponents.

• x²

• -2x²

• 1/x²

• 2/x²

Property Five Notes

Multiple Choice

Which of the following is the correct way to simplify this expression?
 $\left(\frac{a^m}{b^n}\right)^p$  

•  $\frac{a^{m\cdot p}}{b^{n\cdot p}}$  
  

•  $\frac{a^m+a^p}{b^n+b^p}$  

•  $a^{m\cdot p}\ b^{n\cdot p}$  
  

Multiple Choice

Simplify the following:
 $\left(\frac{h^7}{4}\right)^3$  

•  $\frac{h^{21}}{4^3}$  

•  $64h^{21}$  

•  $\frac{h^{21}}{4}$  

Multiple Choice

What's our "shortcut" for thinking of this property?
 $\left(\frac{a^m}{b^n}\right)^{p\ }=\ \frac{a^{mp}}{b^{np}}$  

• It's like "distributing" the power to each part of the top and bottom

• We subtract m and n, then multiply by p

• We exponent-ize everything

Multiple Choice

Simplify the following:
 $\left(\frac{x^2}{y^3}\right)^4$  

•  $\frac{x^8}{y^{12}}$  

•  $\frac{x^6}{y^7}$  

•  $x^8y^{12}$  

Multiple Choice

Simplify the following:
 $\left(\frac{x^2y}{z^3}\right)^5$ 

•  $\frac{x^{10}y^5}{z^{15}}$ 

•  $\frac{x^{10}y}{z^{15}}$ 

•  $\frac{x^{10}y}{z^3}$ 

Completion of all Five Properties!