2A: Zero & Negative Exponents

What is the value of (-2)^3?

• -8

• -6

• 6

• 8

Answer explanation

$\left(-2\right)^3\$
$=\ \left(-2\right)\cdot\left(-2\right)\cdot\left(-2\right)\ \$
$=\ 4\cdot\left(-2\right)\$
$=-8$

Tags

CCSS.8.EE.A.1

Any number written to the 0 power is always 1

Example: 8⁰=1

• True

• False

Answer explanation

Any base to the power of zero results in a value of 1.

Tags

CCSS.8.EE.A.1

Simplify 10⁰

• 10

• 1

• 0

• 100

Answer explanation

Any base to the power of zero results in a value of 1.

Tags

CCSS.8.EE.A.1

Simplify (-9)⁰

• -9

• -1

• 1

• 9

Answer explanation

Any base to the power of zero results in a value of 1.

Tags

CCSS.8.EE.A.1

Simplify y⁰

• y

• 0

• 1

• 1y

Answer explanation

Any base to the power of 0 results in a value of 1.

Tags

CCSS.8.EE.A.1

-9⁰

• 1

• -1

• -9

• 9

Answer explanation

$-9^0$
The base is only 9, since it is not in parenthesis (grouped) with the negative sign.

$-9^0\ \ =\ \ -\left(9^0\right)\ \ =\ \ -1$

Tags

CCSS.8.EE.A.1

Simplify (think about order of operations):

  $12^0\cdot12^0$  

• 0

• 1

• 12

• 2

Answer explanation

 $12^0\cdot12^0$  
 $=1\cdot1$  
= 1

Tags

CCSS.8.EE.A.1

Simplify (think about order of operations):

 $\left(-2\right)^0+8^0$  

• 2

• 0

• 10

• 6

Answer explanation

 $\left(-2\right)^0+8^0$  

 $=1+1$  
 $=2$  

Tags

CCSS.8.EE.A.1

 $\left(-5\right)^{-4}$  

Rewrite using a positive exponent.

•  $\left(-5\right)^4$  
  

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

•  $\frac{1}{\left(-5\right)^4}$  
  

• -625

Answer explanation

Reciprocal with opposite sign on exponent:
 $\left(-5\right)^{-4}=\frac{1}{\left(-5\right)^4}$  
*Must place base in parenthesis to include negative sign as part of base!

Tags

CCSS.8.EE.A.1

 $g^{-7}$  

Rewrite using a positive exponent.

•  $\frac{1}{g^7}$  
  

•  $g^7$  
  

•  $\frac{1}{g^{-7}}$  
  

•  $-g^7$  
  

Answer explanation

Reciprocal with opposite sign on exponent:
 $g^{-7}=\frac{1}{g^7}$  

Tags

CCSS.8.EE.A.1