WorksheetsProperties of Rational Exponents (with Variables)
Total questions: 16
Worksheet time: 1hrs 22mins
Name
Class
Date
1.
When a power is raised to a power, what do you do with the exponents?
a)
add them
b)
subtract them
c)
multiply them
d)
divide them
2.
When you divide variables, what do you do with the exponents?
a)
add them
b)
subtract them
c)
multiply them
d)
divide them
3.
When you multiply variables, what do you do with the exponents?
a)
add them
b)
subtract them
c)
multiply them
d)
divide them
4.
Anything raised to the zero power is equal to ___.
a)
0
b)
1
c)
-1
d)
none of the above
5.
To make a negative exponent positive, you must...
a)
reciprocate the base.
b)
multiply by -1.
6.
Rewrite in radical form: 4−32
a)
3421
b)
−43
c)
431
d)
−342
7.
Simplify.
a)
b)
c)
d)
8.
Simplify.
a)
k7
b)
k3
c)
1/k10
d)
k10
9.
Simplify.
a)
w-3
b)
w3
c)
w2
d)
w-13
10.
Simplify.
a)
0
b)
x
c)
1
d)
x12
11.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
12.
Simplify.
a)
8√6
b)
8√12
c)
12√6
d)
12√12
13.
Simplify: √500x8y2
a)
10x⁴y√5
b)
10x⁴y²√5
c)
50x⁴y
d)
100x⁴y√5
14.
Simplify.
a)
7√3
b)
Can't Simplify
c)
6√15
d)
6√3
15.
Simplify:
√10 ⋅ √45
√10 ⋅ √45
a)
3√50
b)
8√2
c)
√450
d)
15√2
16.
Write in exponential form
∛x⁷
∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
100 %
