Question

What is the units digit in the product of ${2546}^{33}\times {3657}^{42}$

• A. 5
• B. 3
• C. 8
• D. 1
• E. 2

Answer 1

The correct option is E 2

$\text{Units digit number can be found from}{8}^{33}\times 7^{42}=8^4\text{gives units place}68^{33}=8^{4^8}\times 8\text{Units place in}{8}^{4^8}\times 8\text{Units place of}{7}^4=1\text{Units place of}{7}^{42}=7^{4^{10}}\times 7^2=1\times 9=9$
So desired result is
Units place of $8\times 9=2$