Unit 2: Squares and Cubes Exponents Review

 $10^2$  Identify the exponent

• 10

• 2

Answer explanation

 $10^2$  

The exponent (2) is the number smaller in size to the top right of the expression. It indicates how many times the base (10) will be multiplied by itself.

 $10^2$  Identify the base 

• 10

• 2

Answer explanation

 $10^2$  

The base (10) is the "regularly sized" number that will be multiplied by itself however many times the exponent (2) states.

Write  $7^5$  in expanded form

• 7 x 2

• 7x 7 x 7 x 7 x 7

• 526

• 35

Answer explanation

Expanded form means written without using any exponents.
 $7^5$  means the base 7 will be multiplied by itself 5 times, as the exponent indicates.
This results in the expanded form:
 $7\cdot7\cdot7\cdot7\cdot7$  

Which expressions are equivalent to 64?

• (8)(8)

• 32²

• (-8)(-8)

• $8^2$
  

• 21³

Answer explanation

Expressions equivalent to 64:

$8\cdot8=64$

$8^2=8\cdot8=64$

$-8\cdot-8=64$

2^{3 = ?}

• 5

• 8

• 6

• 9

Answer explanation

$2^3$

$=2\cdot2\cdot2$

$=4\cdot2$
$=8$

3^{2 = ?}

• 6

• 5

• 9

• 8

Answer explanation

$3^2$
$=3\cdot3$
$=9$

4^{2 = ?}

• 8

• 6

• 16

• 32

Answer explanation

$4^2$
$=4\cdot4$
$=16$

5^{2 =?}

• 25

• 7

• 10

• 32

Answer explanation

$5^2$
$=5\cdot5$
$=25$

6^{2 = ?}

• 36

• 12

• 8

• 64

Answer explanation

$6^2$
$=6\cdot6$
$=36$

7^{2= ?}

• 49

• 14

• 7

• 9

Answer explanation

$=7^2$
$=7\cdot7$
$=49$