Dividing powers of one base

Difficulty Stretch · Set 5uv78y

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1
2¹³÷2⁴=2 to the power of
2
5⁷÷5⁶=5 to the power of
3
12¹⁰÷12²=12 to the power of
4
7⁵÷7⁴=7 to the power of
5
8¹⁴÷8⁴=8 to the power of
6
8⁸÷8⁴=8 to the power of
7
8¹¹÷8⁵=8 to the power of
8
6¹¹÷6⁷=6 to the power of
9
9⁴÷9³=9 to the power of
10
10¹³÷10⁸=10 to the power of
11
10⁶÷10⁵=10 to the power of
12
2³÷2²=2 to the power of
13
7¹⁰÷7⁹=7 to the power of
14
3³÷3²=3 to the power of
15
7⁷÷7⁶=7 to the power of
16
7⁸÷7⁴=7 to the power of
17
10⁶÷10³=10 to the power of
18
4⁷÷4⁶=4 to the power of
19
5³÷5²=5 to the power of
20
12⁸÷12⁷=12 to the power of

What is in this set

The numbers in this set run from 2 to 14.
A careful solution takes 1 written step on average.
The mistake this set invites most often, in 18% of the problems: the exponents were divided; dividing powers of the same base takes one away from the other.
Answers are a whole number.

Drawing 240 problems from this page produced 201 different ones, 84% — so a sheet of 20 is a new sheet almost every time.

The same skill, harder or easier

We would put this in front of a grade 8 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.