This math topic focuses on calculating the ones digit of a product involving large exponent values. Specifically, it involves multiplying numbers raised to large, different exponents and then identifying the ones digit of the result. The problems are structured to enhance the learners’ understanding of patterns in last digits when numbers are raised to powers, an essential skill that combines elements of number theory and modular arithmetic. Additionally, this area is a part of a broader unit on digits and divisibility.

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

more
View

Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Large) Worksheet

Mobius Math Academy logo
Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Large)
1
Find the ones digit of this number once multiplied
A LaTex expression showing 2 to the power of 60 times 7 to the power of 61
a
6
b
3
c
2
d
5
e
7
f
8
2
Find the ones digit of this number once multiplied
A LaTex expression showing 8 to the power of 56 times 7 to the power of 55
a
2
b
1
c
7
d
4
e
8
f
3
3
Find the ones digit of this number once multiplied
A LaTex expression showing 7 to the power of 41 times 3 to the power of 40
a
7
b
2
c
5
d
8
e
6
f
9
4
Find the ones digit of this number once multiplied
A LaTex expression showing 2 to the power of 56 times 8 to the power of 55
a
2
b
6
c
5
d
3
e
7
f
9
5
Find the ones digit of this number once multiplied
A LaTex expression showing 8 to the power of 40 times 7 to the power of 41
a
1
b
5
c
3
d
2
e
9
f
6
6
Find the ones digit of this number once multiplied
A LaTex expression showing 8 to the power of 50 times 3 to the power of 49
a
3
b
2
c
5
d
0
e
1
f
7
7
Find the ones digit of this number once multiplied
A LaTex expression showing 2 to the power of 77 times 3 to the power of 76
a
5
b
0
c
2
d
7
e
3
f
8
8
Find the ones digit of this number once multiplied
A LaTex expression showing 3 to the power of 60 times 7 to the power of 59
a
6
b
2
c
1
d
3
e
7
f
4