Section 6.2 Study Guide (part 1)
Fractional Exponents and Radical Expressions
1.
Evaluate the following and state what the answer means for each:
3
2.
25 = ___________
meaning: ______________________
64 = ___________
meaning: _____________________
81 = ___________
meaning: ______________________
Evaluate.
( 25) 2 = ________
3.
( 64) 2 =___________
( 3 81)3 = ___________
Find the value that would replace the ? in each equation.
4.
( x? ) 2  x
( y ? )3  y
? = _________
? = __________
Based on your results from problems 2 and 3, find the ? in each equation.
x  x?
3
? = ___________
5.
y  y?
? = ____________
Evaluate the following based on your results from #4.
1
2
36 = ___________
6.
1
3
27 = _________

1
2
9 = __________
1
3
8 =_____________
Sometimes the numerator for the fractional exponent is not equal to one. When this happens,
we have to take two steps to solve.
2
27 3 = _________


Step 1:
Step 2:
Step 1:
Step 2:
2
8 3 =__________
7.
a)
8.
a)
n
Write each of the following as an equivalent expression in the form x and give the value of n.
1
x4
x6
b)
c)
( 3 x )5
d)
1
4
x2
5
a 2 5 a8
Simplify each expression. Assume all variables are positive.
a 4b 6
b)
3
93 3
c)
4
x12 y 8
Do the following problems from page182 below.
8.
10.
12.
14.
d)