Multiplying powers of one base

Difficulty Starter · Set uayapo

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1
3⁴×3²=3 to the power of
2
5⁴×5³=5 to the power of
3
4⁵×4⁴=4 to the power of
4
5³×5²=5 to the power of
5
2⁵×2²=2 to the power of
6
3⁴×3³=3 to the power of
7
4⁵×4²=4 to the power of
8
3³×3²=3 to the power of
9
3⁴×3³=3 to the power of
10
2³×2²=2 to the power of
11
3³×3²=3 to the power of
12
3⁴×3³=3 to the power of
13
2³×2²=2 to the power of
14
4⁴×4³=4 to the power of
15
5⁵×5²=5 to the power of
16
3³×3²=3 to the power of
17
5³×5²=5 to the power of
18
3³×3²=3 to the power of
19
4⁴×4³=4 to the power of
20
3³×3²=3 to the power of

What is in this set

The numbers in this set run from 2 to 5.
A careful solution takes 1 written step on average.
The mistake this set invites most often, in 100% of the problems: the exponents were multiplied; multiplying powers of the same base adds them.
Answers are a whole number.

Drawing 240 problems from this page produced 24 different ones, 10% — 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.