Properties of Exponents

Properties of Exponents

LT: I can utilize the properties of exponents to simplify algebraic expressions.

Multiple Choice

What is the expanded form of

 $4^9$  ?

•  $4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot4$  

•  $9\cdot9\cdot9\cdot9$  
  

•  $49$  
  

•  $4+4+4+4+4+4+4+4+4$  
  

•  $9+9+9+9$  
  

Multiple Choice

 $99^0=$   

•  $0$  

•  $1$  

•  $99$  
  

• undefined

•  $990$  
  

Multiple Choice

 $77^1=$   

•  $0$  

•  $1$  

•  $77$  

• undefined

•  $771$  
  

Multiple Choice

What is the expanded form of

 $x^4$  

•  $x+4$  

•  $4^x$  

•  $1+x+x+x+x$  

•  $x+x+x+x$  

•  $1\cdot x\cdot x\cdot x\cdot x$  

Multiple Choice

One of the important properties of exponents is that:

 $x^0=$  

•  $0$  

•  $1$  

•  $x$  

• undefined

•  $\frac{1}{x}$  

Multiple Choice

One of the important properties of exponents is that:

 $x^1=$  

•  $0$  

•  $1$  

•  $x$  

• undefined

•  $\frac{1}{x}$  

Multiple Choice

 $1^{42}=$  

•  $0$  

•  $42$  

•  $43$  

• "The answer to the Ultimate Question of Life, the Universe, and Everything."

•  $1$  

Multiple Choice

Use the properties of exponents to rewrite the expression:

 $d^3\cdot d^5$  

•  $d^{15}$  

•  $d^8$  

•  $d^{35}$  

•  $d^2$  

•  $8\cdot d$  

Multiple Choice

Use the properties of exponents to rewrite the expression:

 $\frac{2^7}{2^4}$  

•  $2^3$  

•  $2^{11}$  
  

•  $2^{\frac{7}{4}}$  
  

•  $2^{28}$  
  

•  $\frac{7}{4}$  
  

Multiple Choice

Use the properties of exponents to rewrite the expression:

 $\left(a^m\right)^n$  

•  $a^{m+n}$  
  

•  $a^{\frac{m}{n}}$  

•  $a^{m\cdot n}$  

•  $a^m\cdot a^n$  
  

•  $a^m+a^n$  
  

Multiple Choice

Use the properties of exponents to rewrite the expression:

 $\left(\frac{4}{5}\right)^3$  

•  $4^3\cdot5^3$  

•  $\frac{43}{53}$  

•  $\frac{12}{15}$  
  

•  $\frac{7}{8}$  

• None of the above

Multiple Select

Select all expressions that are equivalent to:

 $x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x$  

•  $x^8$  

•  $x^2\cdot x^6$  

•  $\left(x^4\right)^2$  

•  $\frac{x^{10}}{x^2}$  

•  $\frac{1}{x^{-8}}$