This math topic focuses on the skill of determining the ones digit of a number when it is raised to a high exponent. It challenges students to identify cyclical patterns in the last digits of powers of numbers, which is a part of studying number patterns. Each question provides a base number raised to a large exponent and multiple choice answers for the ones digit of the resulting value. This set of exercises is valuable for understanding properties of exponents and strengthens pattern recognition abilities, particularly within the context of modular arithmetic.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Digit Solving - Ones Digit in Exponents (Large Exponent) - From Power Worksheet

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Digit Solving - Ones Digit in Exponents (Large Exponent) - From Power
1
Find the ones digit of this number
A LaTex expression showing 8 to the power of 34
a
4
b
8
c
1
d
5
e
6
f
2
2
Find the ones digit of this number
A LaTex expression showing 3 to the power of 74
a
2
b
3
c
0
d
7
e
1
f
9
3
Find the ones digit of this number
A LaTex expression showing 2 to the power of 76
a
7
b
1
c
6
d
9
e
3
f
5
4
Find the ones digit of this number
A LaTex expression showing 7 to the power of 64
a
5
b
4
c
9
d
3
e
6
f
1
5
Find the ones digit of this number
A LaTex expression showing 3 to the power of 58
a
7
b
8
c
6
d
9
e
0
f
5
6
Find the ones digit of this number
A LaTex expression showing 8 to the power of 32
a
0
b
1
c
3
d
7
e
6
f
2
7
Find the ones digit of this number
A LaTex expression showing 8 to the power of 69
a
6
b
0
c
4
d
8
e
5
f
2
8
Find the ones digit of this number
A LaTex expression showing 7 to the power of 41
a
3
b
0
c
7
d
2
e
5
f
1