Multiplying powers of one base

Difficulty Standard · Set l4togg

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1
8³×8²=8 to the power of
2
9⁹×9⁸=9 to the power of
3
8³×8²=8 to the power of
4
4³×4²=4 to the power of
5
8⁹×8⁴=8 to the power of
6
6⁵×6²=6 to the power of
7
2⁸×2³=2 to the power of
8
3⁴×3³=3 to the power of
9
9⁸×9³=9 to the power of
10
2³×2²=2 to the power of
11
9⁸×9³=9 to the power of
12
3⁹×3⁵=3 to the power of
13
4⁵×4³=4 to the power of
14
3⁷×3²=3 to the power of
15
3⁹×3³=3 to the power of
16
3³×3²=3 to the power of
17
9⁹×9⁸=9 to the power of
18
5⁸×5⁷=5 to the power of
19
5⁹×5⁶=5 to the power of
20
6⁸×6⁶=6 to the power of

What is in this set

The numbers in this set run from 2 to 9.
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 134 different ones, 56% — 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.