M1L5

M1L5

by Tiffany Weekly

Multiple Choice

WARM-UP: What is the reciprocal of  $$\frac{5}{9}$$  ? 

• $$-\frac{5}{9}$$  

• $$\frac{9}{5}$$  

• $$-\frac{9}{5}$$  

• $$5\frac{1}{9}$$  

Negative Exponents

The Short Cut?!

Anything raised to the Power of a Negative Exponent, get the reciprocal (flip the fraction) remove the negative sign from the exponent.

Multiple Choice

Rewrite using a positive exponent.

$$g^{-7}$$  

• $$\frac{1}{g^7}$$  

• $$g^7$$  

• $$\frac{1}{g^{-7}}$$  

• $$-g^7$$  

Multiple Choice

Rewrite using a positive exponent.

$$\frac{1}{g^{-7}}$$  

• $$\frac{1}{g^7}$$  

• $$g^7$$  

• $$\frac{1}{g^{-7}}$$  

• $$-g^7$$  

Multiple Choice

Rewrite using a positive exponent.

$$5g^{-7}$$  

• $$\frac{5}{g^7}$$  

• $$5g^7$$  

• $$\frac{5}{g^{-7}}$$  

• $$\frac{1}{5g^7}$$  

Multiple Choice

Rewrite using a positive exponent.

$$5g^{-7}km$$  

• $$\frac{5km}{g^7}$$  

• $$5g^7km$$  

• $$\frac{5}{g^{-7}km}$$  

• $$\frac{1}{5g^7km}$$  

Multiple Choice

Rewrite with the variable having a negative exponent.

$$\frac{6}{g^{-2}}$$  

• $$6g^2$$  

• $$6g^{-2}$$  

• $$\frac{6}{g^2}$$  

• $$\frac{1}{6g^2}$$  

Multiple Choice

Rewrite  $$x^{-2}$$  with no negative exponents.

• $$\frac{1}{x^2}$$  

• $$x^2$$  

• $$-\frac{1}{x^2}$$  

• $$\frac{x^2}{1}$$  

Multiple Choice

Rewrite  $$\left(\frac{y}{3}\right)^{-3}$$  with no negative exponents.

• $$\frac{27}{y^3}$$  

• $$\frac{y^3}{27}$$  

• $$\frac{3}{y^{27}}$$  

• $$\frac{27}{y}$$  

Multiple Choice

Write with no negative exponents:  $$x^{-5}y^3$$  

• $$\frac{y^3}{x^5}$$  

• $$\frac{x^5}{y^3}$$  

• $$x^5y^3$$  

• $$\left(\frac{x}{y}\right)^{15}$$

• $$\frac{y^3}{5x}$$  

Multiple Choice

Write with no negative exponents:  $$x^74^{-4}$$ . 

• $$\frac{x^7}{256}$$  

• $$\frac{x^7}{16}$$  

• $$\frac{256}{x^7}$$  

• $$\frac{16}{x^7}$$  

• $$256x^7$$  

Multiple Choice

Simplify.

• y⁶⁰

• ¹/_y¹⁶

• y^-16

• y⁴

Multiple Choice

Rewrite with no negative exponents:  $$\frac{b^{-3}}{2^{-3}a^6}$$  .

• $$\frac{8}{a^6b^3}$$  

• $$\frac{a^6b^3}{8}$$  

• $$\frac{6}{a^6b^3}$$  

• $$\frac{-6}{a^6b^3}$$  

• $$\frac{-8}{a^6b^3}$$  

Multiple Choice

 Simplify the expression so that there are no negative exponents in your final answer. $$a^{-14}\cdot b^{17}\cdot a^8$$

• $$a^{22}b^{17}$$  

• $$\frac{a^6}{b^{17}}$$  

• $$a^6b^{17}$$  

• $$\frac{b^{17}}{a^6}$$  

Multiple Choice

Are the following expressions equal?

$$\left(\frac{2}{3}\right)^{-2}\ =\ \left(\frac{3}{2}\right)^2$$  

• Yes 👍

• No 👎

Multiple Choice

$$\frac{c^{-3}}{d^{-2}}$$  

• $$\frac{d^2}{c^3}$$  

• $$\frac{1}{c^3d^2}$$  

• $$c^3d^2$$