Raising a power to a power

Difficulty Stretch · Set vxtlu5

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1
(10¹³)¹⁰=10 to the power of
2
(6⁶)²=6 to the power of
3
(9¹²)¹⁰=9 to the power of
4
(12¹⁰)⁴=12 to the power of
5
(11¹⁰)⁵=11 to the power of
6
(5¹¹)⁴=5 to the power of
7
(9³)²=9 to the power of
8
(8¹⁰)⁵=8 to the power of
9
(10¹²)⁹=10 to the power of
10
(11⁴)²=11 to the power of
11
(7⁹)⁵=7 to the power of
12
(11⁶)⁴=11 to the power of
13
(8¹⁴)⁶=8 to the power of
14
(9⁴)³=9 to the power of
15
(10⁸)²=10 to the power of
16
(10⁷)⁶=10 to the power of
17
(8⁷)³=8 to the power of
18
(8⁷)⁶=8 to the power of
19
(5⁵)³=5 to the power of
20
(10¹⁴)⁹=10 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 added; a power raised to a power multiplies them.
Answers are a whole number.

Drawing 240 problems from this page produced 197 different ones, 82% — 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.