2.3 Part 2: Quotient Power Rules of Exponents

2.3 Part 2: Quotient Power Rules of Exponents

EQ: How can you simplify expressions using the power rules of exponents?

Multiple Choice

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

Multiple Choice

$$\left(wxyz\right)^6$$  

• $$w^6x^6y^6z^6$$  

• $$wxyz^6$$  

• $$wx^3yz^3$$  

• $$w^2x^2y^2z$$  

Multiple Choice

(3y⁴)²

• 9y⁸

• 9y⁶

• 6y⁸

• 6y⁶

Multiple Choice

(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

Multiple Choice

(5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

Multiple Choice

$$\left(\frac{4}{5}\right)^3$$  

• $$\frac{12}{15}$$  

• $$\frac{64}{125}$$  

• $$4^{3\ }\cdot5^3$$  

• $$\frac{16}{25}$$  

Multiple Choice

$$\left(\frac{x^2}{y}\right)^5$$  

• $$\frac{x^7}{y}$$  

• $$\frac{x^7}{y^6}$$  

• $$\frac{x^{10}}{y}$$  

• $$\frac{x^{10}}{y^5}$$  

Multiple Choice

$$\left(\frac{a^7}{b^3}\right)^2$$  

• $$\frac{a^9}{b^5}$$  

• $$\frac{a^{14}}{b^6}$$  

• $$\frac{a^{14}}{b^3}$$  

• ab⁸

Multiple Choice

$$\left(\frac{t^6}{y^4}\right)^0$$  

• 0

• $$\frac{t^6}{y^4}$$  

• 1

• $$\frac{1}{y^4}$$  

Multiple Choice

$$\frac{\left(3x\right)^2}{x}$$  

• $$\frac{9x^2}{x}$$  

• $$3x^2$$  

• $$3x$$  

• $$\frac{32w^{10\ }y^5\ \ \ \ \ }{w^3y^2}$$  

Multiple Choice

$$\frac{\left(2w^2y\right)^5}{w^3y^2}$$  

• $$\frac{1}{32w^7y^3}$$  

• $$10w^7y^3$$  

• $$32w^7y^3$$  

• $$\frac{32w^{10\ }y^5\ \ \ \ \ }{w^3y^2}$$  

Multiple Choice

$$\left(\frac{x^4\cdot x^5}{x^2}\right)^3$$  

• $$\frac{x^{27}}{x^2}$$  

• $$x^{21}$$  

• $$\frac{x^{27}}{x^6}$$  

• $$x^7$$  

Multiple Choice

$$\left(\frac{4a^2b^{-3}}{ab}\right)^2$$  

• $$\frac{16a^2}{b^4}$$  

• $$\frac{4a^2}{b^4}$$  

• $$16a^2b^8$$  

• $$4a^6b^8$$  

Multiple Choice

$$\left(\frac{25x^4}{y^3z}\right)^0$$  

• 0

• 25xyz

• 1

• $$\frac{1}{y^3z}$$  

Multiple Choice

$$\left(\frac{1}{2}\right)^{-3}$$  

• -8

• 8

• $$\frac{1}{8}$$  

• 2^-3

Multiple Choice

$$\left(\frac{y^2}{x^3}\right)^{-4}$$  

• $$\frac{y^{-8}}{x^{-12}}$$  

• $$\frac{x^{12}}{y^8}$$  

• $$\frac{y^8}{x^{12}}$$  

• $$x^{12}y^{-8}$$  

Multiple Choice

$$\left(\frac{x^2\cdot x^4}{x^3}\right)^{-5}$$  

• $$\frac{x^3}{x^6}$$  

• $$\frac{1}{x^{15}}$$  

• x²⁵

• x¹⁵

Multiple Choice

$$\left(\frac{m^3p^{-2}}{p^5}\right)^{-1}$$  

• $$m^3p^7$$  

• $$\frac{1}{m^3p^3}$$  

• $$\frac{m^3}{p^7}$$  

• $$\frac{p^7}{m^3}$$  

Multiple Choice

$$\left(\frac{5w^2}{w^4y^3}\right)^{-2}$$  

• $$\frac{w^{4\ }y^3}{25}$$  

• $$\frac{w^4y^6}{25}$$  

• $$\frac{25}{w^4y^6}$$  

• $$\frac{w^4y^6}{5}$$