Exponent Rules Review

Exponent Rules Review

Review the rules for exponents and apply them in the following problems.

Exponent Rules Chart

This chart is the same as the one you have in your notebook from the first semester. Please use it (or the one in your notebook) to work through the following problems.

Multiple Choice

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add
• subtract
• multiply
• divide

Multiple Choice

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Multiple Choice

Rewrite using a positive exponent.

7^-10

• $\frac{1}{7^{10}}$

• $7^{10}$
  

• $\frac{1}{7^{-10}}$

• $-70$
  

• $\frac{1}{70}$

Multiple Choice

Evaluate this expression using the quotient rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Multiple Choice

To solve

 $x^6x^3$  
you must_________ the exponents

• divide

• add

• subtract

• multiply

Multiple Choice

 $\left(x^6\right)^4$  

•  $x^{10}$  

•  $x^2$  

•  $x^{-9}$  

•  $x^{24}$  

Multiple Choice

 $x^4x^3$  

•  $x^{12}$  

•  $x^7$  

• x

•  $x^1$  

Multiple Choice

If (2^x)⁵=2¹⁵, what does x equal?

• x = 3
• x = 5
• x = 10

Multiple Choice

 $365^0=$  

• 0

• 1

• 365

•  $\frac{1}{365}$  

Multiple Choice

Simplify the expression: 

 $\left(2^2\right)^4$  

•  $2^6$  

•  $2^2$  

•  $4^8$  

•  $2^8$  

Multiple Choice

 $\frac{11^{8\ }}{11^5}$  

Simplify. 

•  $11^8$  

•  $11^3$  
  

•  $11^{24}$  
  

•  $1^3$  
  

Multiple Choice

Which is equivalent to 5 x 5 x 5 x 5

• 5³
• 5⁴
• 4⁵
• 5⁵

Multiple Choice

• 25⁶⁰
• 25¹⁷
• 5⁶⁰
• 5¹⁷

Multiple Choice

 $\left(x^3\right)^2\cdot\left(x^4\right)^2$  

•  $x^{14}$  

•  $x^{11}$  

•  $x^7$  

•  $x^4$  

Multiple Choice

Multiple Choice

• 4⁹
• 4⁴⁴
• 4²¹
• 4¹⁵

Multiple Choice

 $n\cdot n^3\cdot n^4$  Using exponents, simplify the following expression:

•  $n^{12}$  

•  $n^7$  
  

•  $n^8$  
  

•  $3n^{12}$  
  

Multiple Choice

• x²

• 0

• 1

• x²⁰