Multiplying powers of one base

Difficulty Stretch · Set zj3iw2

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1
10¹²×10³=10 to the power of
2
9⁶×9²=9 to the power of
3
12¹²×12¹¹=12 to the power of
4
6¹¹×6⁹=6 to the power of
5
2⁶×2⁵=2 to the power of
6
9⁹×9⁵=9 to the power of
7
7⁸×7⁵=7 to the power of
8
9³×9²=9 to the power of
9
2¹¹×2⁷=2 to the power of
10
11⁴×11²=11 to the power of
11
6⁶×6⁴=6 to the power of
12
8⁵×8⁴=8 to the power of
13
2¹³×2²=2 to the power of
14
3⁹×3⁷=3 to the power of
15
6⁶×6³=6 to the power of
16
5⁴×5³=5 to the power of
17
9⁹×9⁷=9 to the power of
18
9⁸×9⁴=9 to the power of
19
3⁸×3⁶=3 to the power of
20
6¹¹×6⁴=6 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 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 194 different ones, 81% — 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.