2A Practice (Zero & Negative Exponents)

AGREEMENT FOR THIS ASSIGNMENT: I will put time and thought into each problem in this Quizizz.

When I miss a problem, I will take the time to read the explanation shown afterwards to help me learn from my mistake(s).

After completing this Quizizz, I will NOT retake it until after I complete the "Quizizz & Check" to further help me learn from my mistake(s).

NOTE: You can show work on your paper to help you work through problems.

• Aye aye, Captain!

• Hard pass! (this is the wrong answer, friend)

Answer explanation

READ FIRST:

The purpose of this assignment is to help you prepare for the upcoming 2A Quiz.

The more time/effort you put into this assignment, along with having academic integrity by following the expectations given, the more prepared you will be for the 2A quiz and the rest of this unit overall.

Guessing or being academically dishonest will NOT help you be a successful student.

Tags

CCSS.7.NS.A.3

When a base is raised to the power of zero, such as 5⁰, the overall value of the expression is always...

• -1

• 0

• 1

• The value of the base

Answer explanation

When a number is raised to the power of zero, the value of the expression is 1.

Think of it as meaning we are multiplying by that base zero times, leaving us with the "invisible" 1.

Example:

$5^0$
$=1\cdot5^0$
$=1$
(multiplied by zero 5's)

Tags

CCSS.8.EE.A.1

Simplify the following expression (remember order of operations):

  $2\cdot4^0$  

Answer explanation

 $2\cdot4^0$  

A base raised to the power of zero has a value of 1:
  $=2\cdot1$   

  $=2$  

Tags

CCSS.8.EE.A.1

 $\frac{4}{3^0}$  

Simplify the following expression (remember order of operations):

Answer explanation

 $\frac{4}{3^0}$  

 $=\frac{4}{1}$  

 $=4$  

Tags

CCSS.8.EE.A.1

CHECK ALL THAT ARE TRUE:

When rewriting a power with a negative exponent, so that it no longer has a negative exponent...

• You must keep the exponent negative.

• You must write the reciprocal of the base.

• You must change the sign of the exponent.

• You must change the sign of the whole power term.

• You must switch the base with the exponent.

Answer explanation

When simplifying a power term with a negative exponent...

-You must write the reciprocal of the power

-You must change the sign of the exponent

You must NOT:

-...keep the exponent negative, because this would not be simplifying the expression.

-...change the sign of the whole power term, because this changes the base of the power term and will no longer be an equivalent expression.

-...switch the base with the exponent, because this changes the base and exponent of the power term and will no longer be an equivalent expression.

Tags

CCSS.8.EE.A.1

Tags

CCSS.8.EE.A.1

Tags

CCSS.8.EE.A.1

Tags

CCSS.8.EE.A.1

Tags

CCSS.8.EE.A.1

Tags

CCSS.8.EE.A.1