Question 12 on the MAT0020/24C Beginning Algebra State Exam

Simplify Exponential Expressions (Positive Integer Exponents)

 

 

12.  Simplify:                                                                             

 

A.                      B.                       C.                       D. 

 

 

 

Solution:

 

Simplify: 

 

Know the exponent rules:

Exponent Rules:

 

The first step using order of operations is to complete the exponents using exponent rules. 

 

 

The next step is to combine like terms using exponent rules.

 

 

The solution is: 

 

Practice Problems for Question 12

Simplify Exponential Expressions (Positive Integer Exponents)

 

1.  Simplify:     

 

a.                         b.                         c.                       d. 

 

 

 

 

 

2.  Simplify:     

 

a.                        b.                      c.                      d. 

 

 

 

 

 

3.  Simplify:     

 

a.                       b.                      c.                      d. 

 

 

 

 

 

4.  Simplify:     

 

a.                           b.                            c.                     d. 

 

 

 

 

 

 

 

 

Solutions:

1.  c                 2.   c                3.  b                 4.  a