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Digit Solving - Ones Digit in Exponent Multiplication (Large) - Same Exponent (Large) (Level 2)

This math topic focuses on identifying the ones digit of a number after performing exponentiation and multiplication operations with large exponents, all sharing the same exponent value. It involves understanding and applying the cyclicity properties of digits in powers. This is categorized under advanced number patterns, enhancing skills in recognizing and manipulating characteristics of numbers in their exponential forms. The problems include multiple-choice options and require choosing the correct ones digit after simplifying the given mathematical expressions.

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 (Large) - Same Exponent (Large)

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Find the ones digit of this number once multiplied

254â‹…4542^{54} \cdot 4^{54}

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

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Math worksheet on 'Digit Solving - Ones Digit in Exponent Multiplication (Large) - Same 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 4 to the power of 58 times 9 to the power of 58
a
1
b
2
c
0
d
4
e
5
f
6
2
Find the ones digit of this number once multiplied
A LaTex expression showing 5 to the power of 58 times 4 to the power of 58
a
8
b
5
c
7
d
3
e
4
f
0
3
Find the ones digit of this number once multiplied
A LaTex expression showing 4 to the power of 67 times 6 to the power of 67
a
1
b
3
c
4
d
5
e
9
f
0
4
Find the ones digit of this number once multiplied
A LaTex expression showing 5 to the power of 42 times 9 to the power of 42
a
2
b
7
c
5
d
0
e
3
f
1
5
Find the ones digit of this number once multiplied
A LaTex expression showing 6 to the power of 68 times 2 to the power of 68
a
2
b
8
c
0
d
6
e
9
f
4
6
Find the ones digit of this number once multiplied
A LaTex expression showing 5 to the power of 81 times 6 to the power of 81
a
2
b
5
c
8
d
4
e
1
f
0
7
Find the ones digit of this number once multiplied
A LaTex expression showing 5 to the power of 70 times 4 to the power of 70
a
5
b
3
c
6
d
0
e
1
f
2