Properties of Exp. Cont.

Properties of Exp. Cont.

Learning Target

• I can fluently practice properties of exponents.

Multiple Choice

Simplify the expression.

 $m^3\times m^2$  

•  $m^5$  

•  $m$  

•  $m^0$  

•  $m^{14}$  

Multiple Choice

Simplify the expression.

 $\frac{j^6}{j^3}$  

•  $j$  

•  $x^3$  

•  $j^3$  

•  $j^{18}$  

Multiple Choice

Which of the following answer choices equals 1?

• $\frac{4}{4}$

• $x^0$

• $\frac{x^2}{x^2}$

• All of the above

Negative Exponents

• To make negative exponents positive, find the RECIPROCAL of the term.

• ex)

   $3^{-2}$  

• Find the reciprocal to make positive.  $\frac{1}{3^2}$  

What is the Reciprocal?

switching the numerator & denominator

Examples of Reciprocals

•  $5\ and\ \frac{1}{5}$  

•  $\frac{2}{3}\ and\ \frac{3}{2}$  

•  $\frac{1}{7}\ and\ 7$  

•  $\frac{8}{9}\ and\ \frac{9}{8}$  

Multiple Choice

Find the reciprocal of 10.

• 100

• $\frac{1}{10}$

• 10

• $\frac{2}{5}$

Multiple Choice

Rewrite the term so that the exponent is positive.

 $5^{-2}$  

•  $\frac{1}{5^2}$  

•  $1000$  

•  $\frac{5^2}{10}$  

•  $25$