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

Level 2

This math topic emphasizes solving digit problems related to finding the ones digit in numbers where bases are raised to large, differing exponents and then multiplied. It is part of a broader unit on Digits and Divisibility. Each question provides a mathematical expression with two bases, each raised to a significant exponent, and students are required to determine the ones digit of the resulting product, with multiple-choice answers provided for each problem. This skillset helps in understanding patterns and properties in number theory, specifically in the context of exponents and multiplication.

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

5679665^{67} \cdot 9^{66}

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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 2)'. 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 2 to the power of 30 times 5 to the power of 29
a
0
b
3
c
9
d
8
e
1
f
6
2
Find the ones digit of this number once multiplied
A LaTex expression showing 5 to the power of 45 times 2 to the power of 46
a
5
b
2
c
3
d
0
e
8
f
7
3
Find the ones digit of this number once multiplied
A LaTex expression showing 2 to the power of 59 times 5 to the power of 58
a
6
b
7
c
1
d
0
e
8
f
9
4
Find the ones digit of this number once multiplied
A LaTex expression showing 9 to the power of 36 times 4 to the power of 37
a
2
b
4
c
3
d
6
e
5
f
1
5
Find the ones digit of this number once multiplied
A LaTex expression showing 9 to the power of 81 times 2 to the power of 82
a
3
b
4
c
2
d
7
e
6
f
0
6
Find the ones digit of this number once multiplied
A LaTex expression showing 5 to the power of 67 times 9 to the power of 66
a
8
b
6
c
4
d
5
e
1
f
7
7
Find the ones digit of this number once multiplied
A LaTex expression showing 6 to the power of 66 times 2 to the power of 67
a
3
b
8
c
6
d
9
e
7
f
2