Division Properties of Exponents

Homework
3/26/2024

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You need to add the notes to your handout and complete the check for understanding questions in the middle and end of the lesson.

Multiple Choice

$$\frac{y^{\frac{3}{4\ }}}{y^{\frac{1}{2}}}=$$

• $$y^{\frac{1}{4}}$$

• $$y^{\frac{1}{2}}$$

• $$y^{\frac{5}{4}}$$

• $$\frac{1}{y^{\frac{1}{4}}}$$

Multiple Choice

$$\frac{d^{\frac{7}{2}}}{d^2}=$$

• $$d^{\frac{3}{2}}$$

• $$d^{\frac{7}{2}}$$

• $$d^{\frac{5}{2}}$$

• $$d^2$$

Multiple Choice

$$\frac{a^{-3}b^7}{a^5b^2}$$

• $$a^{-8}b^5$$

• $$\frac{1}{a^8b^5}$$

• $$\frac{b^5}{a^2}$$

• $$\frac{b^5}{a^8}$$

Multiple Choice

$$\frac{k^6j^2}{kj^5}$$

• $$k^5j^{-3}$$

• $$\frac{k^5}{j^3}$$

• $$\frac{j^3}{k^5}$$

Multiple Choice

$$\frac{x^4y^{-1}z^8}{x^4y^{-5}z}$$

• $$x^8y^4z^7$$

• $$y^4z^7$$

• $$y^6z^7$$

• $$\frac{x^8y^5}{z^7}$$

Multiple Choice

$$\left(\frac{x^{\frac{1}{3}}}{3}\right)^3$$

• $$\frac{x}{27}$$

• $$\frac{x^{\frac{1}{9}}}{3}$$

• $$\frac{x}{3}$$

Match

Match the following properties of exponents:

• $$x^m\cdot x^n$$

• $$\left(x^m\right)^n$$

• $$\left(ab\right)^{-m}$$

• $$\left(\frac{a}{b}\right)^m$$

• $$\frac{a^m}{a^n}$$

• $$x^{m+n}$$

• $$x^{m\cdot n}$$

• $$\frac{1}{a^mb^m}$$

• $$\frac{a^m}{b^m}$$

• $$a^{m-n}$$

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Multiple Choice

$$\left(\frac{m}{n}\right)^{-3}$$

• $$\frac{m^3}{n^3}$$

• $$\frac{n^3}{m^3}$$

• $$\frac{m^{-3}}{n^{-3}}$$

Multiple Choice

$$\left(\frac{a^{\frac{3}{4}}}{a^5}\right)^4$$

• $$\frac{a^{\frac{12}{16}}}{a^5}$$

• $$a^2$$

• $$a^{17}$$

• $$\frac{1}{a^{17}}$$

Multiple Choice

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

• $$\frac{81x^8}{625y^{16}}$$

• $$\frac{625y^{16}}{81x^8}$$

• $$\frac{81y^{16}}{625x^8}$$

Multiple Choice

$$\left(\frac{a}{5b}\right)^{-2}$$

• $$\frac{a^2}{25b^2}$$

• $$\frac{25}{a^2b^2}$$

• $$\frac{25b^2}{a^2}$$