The last digit of 2⁹×5¹³¹ is..?
Answer with proper method pls..
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Answer:
Last digit of 2⁹×5¹³¹ = 0
Step-by-step explanation:
Last digit of 5ⁿ = 5 for any n>0
Last possible digit of 2ⁿ occur in cycle of 2, 4, 8, 6. That is cycle of 4 numbers.
Last digit of 2⁹ = 9 mod 4 = 1
that is 2¹ = 2
So, Last digit of 2⁹×5¹³¹ = last digit of 2⁹ x last digit of 5¹³¹ = 2 x 5 = 10
Hence, Last digit of 2⁹×5¹³¹ = 0
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