This math topic involves practicing skills in polynomial algebra with a focus on simplifying expressions that involve differences and sums of powers of integers divided by a similar exponent. The problems require manipulating exponents to simplify the expressions to their simplest form, demonstrating an understanding of rules such as the quotient and product of powers and possibly polynomial addition or subtraction. This set of exercises is categorized under an advanced section of polynomials and quadratics. It includes questions that challenge students to apply these algebraic rules to solve and choose the correct answer from multiple options.

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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{4 to the power of 428 - 4 to the power of 426 }{4 to the power of 425 }
a
114
b
78
c
60
d
12
e
90
f
66
2
What does this expression simplify to?
A LaTex expression showing \frac{7 to the power of 318 + 7 to the power of 316 }{7 to the power of 316 }
a
30
b
85
c
5
d
80
e
50
f
25
3
What does this expression simplify to?
A LaTex expression showing \frac{4 to the power of 486 - 4 to the power of 483 }{4 to the power of 483 }
a
81
b
69
c
33
d
9
e
105
f
63
4
What does this expression simplify to?
A LaTex expression showing \frac{5 to the power of 398 + 5 to the power of 395 }{5 to the power of 395 }
a
234
b
126
c
150
d
186
e
114
f
90
5
What does this expression simplify to?
A LaTex expression showing \frac{12 to the power of 142 + 12 to the power of 140 }{12 to the power of 140 }
a
257
b
103
c
229
d
131
e
145
f
159
6
What does this expression simplify to?
A LaTex expression showing \frac{4 to the power of 138 + 4 to the power of 136 }{4 to the power of 136 }
a
25
b
10
c
15
d
7
e
11
f
17
7
What does this expression simplify to?
A LaTex expression showing \frac{12 to the power of 321 + 12 to the power of 319 }{12 to the power of 319 }
a
257
b
145
c
103
d
243
e
215
f
271
8
What does this expression simplify to?
A LaTex expression showing \frac{9 to the power of 202 - 9 to the power of 200 }{9 to the power of 200 }
a
72
b
40
c
32
d
80
e
120
f
8