This document contains a math worksheet with 20 problems involving simplifying expressions with variables and exponents. The student's name and class information are listed at the top, followed by the 20 problems to be solved, with blank lines provided below each for the student to show their work.

1. 253𝑛−1 ∙ 1253−𝑛 ∙ 5−6
53𝑛+1
92 ∙ 27 2−𝑛
81 −𝑛 ∙ 27 3 ∙ 3 𝑛−1
22𝑛−3
23𝑛+1 ×
22𝑛+5
2𝑛−2
2𝑛+3
15−𝑛−1 ×
6−𝑛+2
5𝑛+1
67 × 410
88 × 96
Saint Gabriel’s College
Student’s Name: ____________________ M2/ Room : ________ No: ________
Simplify :
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
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2𝑎2
3𝑏−4
−4
=
53𝑎
𝑏−3
5
=
−3 2𝑎−4
52𝑏−6
2
=
16𝑎3𝑏−2
23𝑎3
−4
=
7𝑎3𝑏−5
49𝑎3𝑏−6
−1
=
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2−2 × 36
22 × 3−5 =
2−2 × 36
22 × 3−5 =
2−13 × 24 × 36
215 × 3−2 × 3−7 =
2
3
3 −4
=
−3 × −5 2 =

2. 253𝑛−1 ∙ 1253−𝑛 ∙ 5−6
53𝑛+1
92 ∙ 27 2−𝑛
81 −𝑛 ∙ 27 3 ∙ 3 𝑛−1
22𝑛−3
23𝑛+1 ×
22𝑛+5
2𝑛−2
2𝑛+3
15−𝑛−1 ×
6−𝑛+2
5𝑛+1
67 × 410
88 × 96
11.
12.
13.
16.
14.
15.
17.
18.
19.
20.
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𝑎3𝑛+2
𝑎2𝑛−3 ×
𝑎𝑛+3
𝑎2𝑛+5 =
42+𝑛 × 24𝑛+1 × 82−𝑛
23𝑛+1 =
2𝑛+1
2𝑛 𝑛−1 ÷
4𝑛+1
2𝑛−1 𝑛+1 =
31−𝑛
2−𝑛−1 ×
25−𝑛+1
9−𝑛 ÷
30𝑛−1
53𝑛−3 =
253𝑛−1 ∙ 1253−𝑛 ∙ 5−6
53𝑛+1 =
22𝑛−3
23𝑛+1 ×
22𝑛+5
2𝑛−2 =
2𝑛+3
15−𝑛−1 ×
6−𝑛+2
5𝑛+1 =
67 × 410
88 × 96 =
2𝑛+1
2𝑛 𝑛−1 ÷
4𝑛+1
2𝑛−1 𝑛+1 =
31−𝑛
2−𝑛−1 ×
25−𝑛+1
9−𝑛 ÷
30𝑛−1
53𝑛−3 =