A negative index as a fraction

Difficulty Starter · Set qr4vtv

Write each of these as a fraction.

Fill in what you can and press Check. Nothing you type is sent anywhere.

1
3⁻²=
2
5⁻²=
3
4⁻¹=
4
4⁻¹=
5
5⁻²=
6
3⁻¹=
7
5⁻¹=
8
5⁻²=
9
3⁻¹=
10
3⁻¹=
11
5⁻¹=
12
2⁻²=
13
5⁻²=
14
5⁻¹=
15
4⁻¹=
16
4⁻²=
17
4⁻¹=
18
2⁻¹=
19
4⁻¹=
20
2⁻²=

What is in this set

The numbers in this set run from 1 to 5.
Every problem in it will carry a negative index.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 100% of the problems: the minus was put in front of the answer; a negative index turns the power upside down instead.
Answers are a fraction in its lowest terms, written like 3/4.

Drawing 240 problems from this page produced 8 different ones, 3% — so a sheet of 20 will come back to a problem you have seen — there are only so many sensible ones of this kind.

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.