Find the unit digit of 3^6 *4^7 *6^3 *7^4 *8^2 *9^5
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Step-by-step explanation:
Multiply them all with each other like this
3*3*3*3*3*3*4*4*4*4*4*4*4*6*6*6*7*7*7*7*8*8*9*9*9*9*9= 2.34091683e19
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Answered by
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Answer:
The correct answer = 6
Given problem:
Find the unit digit of 3⁶ × 4⁷ × 6³ × 7⁴ × 8² × 9⁵
Explanation:
given number is 3⁶ × 4⁷ × 6³ × 7⁴ × 8² × 9⁵
⇒ 3⁶ × 4⁷ × 6³ × 7⁴ × 8² × 9⁵
⇒ 729 × 14384 × 216 × 2401 × 64 × 59049
to find the unit digit in given number multiply each unit digit number in given number
unit digits in given number
⇒ 729 × 14384 × 216 × 2401 × 64 × 59049
⇒ 9 × 4 × 6 × 1 × 4 × 9 = 7776
Therefore unit digit of the 3⁶ × 4⁷ × 6³ × 7⁴ × 8² × 9⁵ = 6
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