Warm Up_L08_C3 Math_2023_Ready for Review

In this lesson, you will learn to calculate square roots and cube roots.

Before you get started, complete the warm-up to review essential skills for success.

Squares and Cubes

A number that is “squared” has an exponent of ___________________________.

A number that is “cubed” has an exponent of ____________________________.

1) Label each term below as either a square or a cube. An example has been completed for you.

 

Prime Factorization

Create a factor tree and determine the prime factorization for each of the following values.
The prime factorization of each integer can be recorded with or without exponents. 

 

Example: 
Prime Factorization of 116 can be recorded as  $2·2·29 or 2^2·29$

 

2) 56

 

3) 114

 

4) 180

 

5) 135

 

Click on the student solution button below to compare your work to the solutions shown.

Working with Exponents
Simplify each expression.

**Add text for solution button

 

Compare your solutions to those listed below.

1) Label each term below as either a square or a cube. An example has been completed for you.

 

 

Value	Square or Cube
$3^2$	square
$4^3$	cube
$5^2$	square
$6^2$	square
$8^3$	cube
$2^3$	cube

Prime Factorization

Create a factor tree and determine the prime factorization for each of the values below.

 

2) 56

 

Prime Factorization of 56: $$\begin{gathered} 2\times 2\times 2\times 7 \\ {2}^3·7 \end{gathered}$$

 

3) 114

 

 

Prime Factorization of 114

$2\times 3\times 19$

 

4) 180

 

Prime Factorization of 180

$$\begin{gathered} 2\times 2\times 3\times 3\times 5 \\ {2}^2·3^2·5 \end{gathered}$$

 

5) 135

 

Prime Factorization of 135

$$\begin{gathered} 3\times 3\times 3\times 5 \\ {3}^3·5 \end{gathered}$$

***End solution text