This math topic focuses on manipulating and simplifying expressions involving the difference or sum of exponential terms with similar bases, divided by one of the terms. It tests students' understanding of exponent rules within the context of polynomial algebra. The problems involve exponent operations on large integer powers, requiring simplifications reminiscent of polynomial long division, but specific to exponential terms. This advanced exercise is part of a broader unit on polynomials and quadratics.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

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

Mobius Math Academy logo
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 2026 - 11 to the power of 2024 }{11 to the power of 2024 }
a
180
b
168
c
216
d
12
e
120
f
24
2
What does this expression simplify to?
A LaTex expression showing \frac{8 to the power of 2021 + 8 to the power of 2019 }{8 to the power of 2019 }
a
101
b
65
c
107
d
113
e
47
f
83
3
What does this expression simplify to?
A LaTex expression showing \frac{4 to the power of 2015 + 4 to the power of 2013 }{4 to the power of 2012 }
a
44
b
14
c
50
d
104
e
68
f
92
4
What does this expression simplify to?
A LaTex expression showing \frac{12 to the power of 2018 + 12 to the power of 2016 }{12 to the power of 2016 }
a
75
b
117
c
145
d
5
e
89
f
187
5
What does this expression simplify to?
A LaTex expression showing \frac{12 to the power of 2021 + 12 to the power of 2019 }{12 to the power of 2019 }
a
257
b
201
c
61
d
145
e
229
f
89
6
What does this expression simplify to?
A LaTex expression showing \frac{11 to the power of 2016 + 11 to the power of 2014 }{11 to the power of 2014 }
a
62
b
122
c
134
d
98
e
194
f
230
7
What does this expression simplify to?
A LaTex expression showing \frac{11 to the power of 2008 + 11 to the power of 2006 }{11 to the power of 2006 }
a
134
b
122
c
158
d
182
e
62
f
98
8
What does this expression simplify to?
A LaTex expression showing \frac{12 to the power of 2010 - 12 to the power of 2008 }{12 to the power of 2008 }
a
185
b
241
c
227
d
3
e
143
f
129