This math topic focuses on polynomial algebra, particularly simplifying expressions involving the difference and sum of exponents (integers) when divided by a similar exponent. It involves problems with exponential rules and properties, designed to challenge understanding of how to handle powers of the same base in division expressions effectively. The problems are informed by a broader unit on Polynomials and Quadratics at an advanced level, helping students learn to simplify complex algebraic expressions.

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Polynomial Algebra - Difference of Exponents (Integers) Divided by Similar Exponent - Solve Worksheet

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Polynomial Algebra - Difference of Exponents (Integers) Divided by Similar Exponent - Solve
1
What does this expression simplify to?
A LaTex expression showing \frac{11 to the power of 6 + 11 to the power of 4 }{11 to the power of 4 }
a
122
b
38
c
86
d
218
e
50
f
170
2
What does this expression simplify to?
A LaTex expression showing \frac{6 to the power of 3 - 6 to the power of 1 }{6 to the power of 1 }
a
35
b
17
c
59
d
29
e
38
f
41
3
What does this expression simplify to?
A LaTex expression showing \frac{10 to the power of 3 + 10 to the power of 1 }{10 to the power of 1 }
a
41
b
31
c
11
d
61
e
101
f
71
4
What does this expression simplify to?
A LaTex expression showing \frac{9 to the power of 3 + 9 to the power of 1 }{9 to the power of 1 }
a
2
b
154
c
74
d
18
e
82
f
26
5
What does this expression simplify to?
A LaTex expression showing \frac{4 to the power of 3 - 4 to the power of 1 }{4 to the power of 0 }
a
24
b
114
c
60
d
6
e
36
f
30
6
What does this expression simplify to?
A LaTex expression showing \frac{3 to the power of 5 + 3 to the power of 1 }{3 to the power of 1 }
a
58
b
82
c
42
d
18
e
34
f
74
7
What does this expression simplify to?
A LaTex expression showing \frac{5 to the power of 6 + 5 to the power of 4 }{5 to the power of 3 }
a
143
b
65
c
130
d
247
e
208
f
182
8
What does this expression simplify to?
A LaTex expression showing \frac{12 to the power of 3 + 12 to the power of 1 }{12 to the power of 1 }
a
257
b
103
c
201
d
117
e
145
f
215