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Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Large) (Level 3)

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.

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

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Find the ones digit of this number once multiplied

244â‹…9432^{44} \cdot 9^{43}

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

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Math worksheet on 'Digit Solving - Ones Digit in Exponent Multiplication - Different Exponent (Large) (Level 3)'. Part of a broader unit on 'Digits and Divisibility - Practice' Learn online: app.mobius.academy/math/units/digits_and_divisibility_practice/
1
Find the ones digit of this number once multiplied
A LaTex expression showing 7 to the power of 36 times 9 to the power of 37
a
1
b
2
c
8
d
9
e
4
f
6
2
Find the ones digit of this number once multiplied
A LaTex expression showing 4 to the power of 42 times 2 to the power of 43
a
8
b
5
c
9
d
6
e
1
f
2
3
Find the ones digit of this number once multiplied
A LaTex expression showing 4 to the power of 53 times 2 to the power of 52
a
1
b
6
c
5
d
3
e
8
f
4
4
Find the ones digit of this number once multiplied
A LaTex expression showing 3 to the power of 67 times 4 to the power of 66
a
8
b
5
c
3
d
1
e
2
f
4
5
Find the ones digit of this number once multiplied
A LaTex expression showing 4 to the power of 42 times 9 to the power of 43
a
4
b
5
c
0
d
1
e
6
f
3
6
Find the ones digit of this number once multiplied
A LaTex expression showing 9 to the power of 27 times 8 to the power of 28
a
5
b
8
c
4
d
2
e
9
f
0
7
Find the ones digit of this number once multiplied
A LaTex expression showing 8 to the power of 43 times 3 to the power of 42
a
0
b
1
c
6
d
3
e
2
f
8