Exponent Properties

Exponent Properties

Math Connections

Ms. Sikes

Multiple Choice

Simplify:  $4^{-3}$  

• -64

• 64

•  $-\frac{1}{64}$  

•  $\frac{1}{64}$  

Multiple Choice

Simplify: 7⁰

• 1

• -1

Multiple Choice

Simplify: (-5)^-4

• 
  

  $\frac{1}{625}$
  

• $625$

• $-\frac{1}{625}$

• $20$

NOTICE:

 $\left(-5\right)^{-4}=\frac{1}{\left(-5\right)^4}=\frac{1}{\left(-5\right)\left(-5\right)\left(-5\right)\left(-5\right)}=\frac{1}{625}$  

Multiple Choice

Simplify: -5^-4

• 
  

  $20$
  

• $\frac{1}{625}$

• $-\frac{1}{20}$

• $-\frac{1}{625}$

NOTICE

 $-5^{-4}=-\frac{1}{5^4}=-\frac{1}{5\cdot5\cdot5\cdot5}=-\frac{1}{625}$  

Multiple Choice

Simplify: 10^-4

• 
  

  $-40$
  

• $-\frac{1}{10,000}$

• $\frac{1}{10,000}$

Multiple Choice

Simplify: (-2)^-4

• 
  

  $8$
  

• $\frac{1}{16}$

• $-\frac{1}{16}$

Multiple Choice

Simplify: (-2)^-5

• 
  

  $10$
  

• $\frac{1}{32}$

• $-\frac{1}{32}$

Multiple Choice

Simplify: -2^-5

• 
  

  $10$
  

• $\frac{1}{32}$

• $-\frac{1}{32}$

Multiple Choice

Evaluate the expression for the given value of the variable:

 $p^{-3}\ for\ p=4$  

•  $-\frac{1}{64}$  

•  $\frac{1}{64}$  

Multiple Choice

Evaluate the expression for the given values of the variables:

 $8a^{-2}b^{0\ }\ for\ a=-2\ and\ b=6$ 

 $8\left(-2\right)^{-2}6^0$   =  $8\cdot\frac{1}{\left(-2\right)\left(-2\right)}\cdot6^0$  

• 2

• -2

Multiple Choice

Simplify: 7w^-4

• 
  

  $\frac{7}{w^4}$
  

• $-\frac{7}{w^4}$

Multiple Choice

Simplify: $\frac{-5}{k^{-2}}$  

•  $-5k^2$  

•  $\frac{k^2}{5}$  

Multiple Choice

Simplify:

 $q^3\cdot r^2\cdot q^6$  

•  $q^{18}r^2$  

•  $q^9r^2$  

Multiple Choice

Simplify:

 $n^3\cdot n^{-4}\cdot n$  

• 1

•  $n^0$  

•  $n^1$  

Multiple Choice

Simplify:

 $7^8\cdot7^4$  

•  $7^4$  

•  $7^{12}$  

Multiple Choice

Simplify:

 $3^{-3}\cdot5^8\cdot3^4\cdot5^2$  

•  $3^{-12}5^{16}$  

•  $3\cdot5^{10}$  

Multiple Choice

Simplify:

 $x\cdot x^{-1}\cdot x^{-3}\cdot x^{-4}$  

•  $x^{-7}$  

•  $\frac{1}{x^7}$  

Multiple Choice

Simplify:

 $\left(5^2\right)^4$  

•  $5^6$  

•  $5^8$  

Multiple Choice

Simplify:

 $\left(4^3\right)^0$  

•  $4^3$  

• 1

Multiple Choice

Simplify:

 $\left(a^3\right)^4\cdot\left(a^{-2}\right)^{-3}$  

•  $a^{18}$  

•  $a^6$  

Multiple Choice

Simplify:

 $\left(x^6\cdot y^{-3}\right)^2$  

•  $x^{12}y^{-6}$  

•  $\frac{x^{12}}{y^6}$  

Open Ended

Simplify:

(4p)³

Multiple Select

Simplify:

 $\frac{2^9}{2^7}$  

•  $2^{16}$  

•  $2^2$  

•  $4$  

Multiple Select

Simplify:

 $\frac{y}{y^4}$  

•  $y^{-3}$  

•  $\frac{1}{y^3}$  

Is this in simplest form??

Multiple Choice

Simplify:

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

•  $\frac{a^9b^3}{a^6b^6}$  

•  $\frac{a^3}{b^3}$  

Multiple Select

Simplify:

 $\left(\frac{4}{3^2}\right)^{-3}$  

•  $\frac{729}{64}$  

•  $\frac{3^5}{4^3}$  

•  $\frac{9^3}{4^3}$