find the unit digit of the given expression:(216)^1000×(625)^2000×(514)^3000. Created by Irina786. Math

find the unit digit of the given expression:(216)^1000×(625)^2000×(514)^3000...

Questions

Irina786 @Irina786

June 2022 2 42 Report

find the unit digit of the given expression:(216)^1000×(625)^2000×(514)^3000

siddhartharao77

Verified answer

Given,

(216)^1000 = The unit's place is 6.

(625)^2000 = The unit's place is 5.

(514)^3000 = The unit's place is 6.

Now, On multiplying three expressions unit's place, we get

6 * 5 * 6 = 180(Unit's place is 0).

Therefore the unit's digit of (216)^1000 * (625)^2000 * (514)^3000 = 0.

Hope this helps!

Róunak Here, we have...
=============

$(216) {}^{1000}$

>> The unit's place of this number is 6

$(625) {}^{2000}$

>> The unit's place of this number is 5

$(514) {}^{3000}$

>>The unit's place of this number is 4

A/Q,

( 6*5*4) = 180

In the number above, we see that it's unit place is 0

So,

The unit digit of the given expression:-

(216)^1000×(625)^2000×(514)^3000 is 0

Hope it helps!!

Questions

Answers & Comments

Verified answer

Add an Answer

Find the LCM and HCF of 78 and 117 using the fundamental theorem of arithmetic...

There is a square path around a field.Dia takes 21 minutes to walk one round of ...

n is irrational, when p is prime and n > 1...

If alpha,beta and gamma are the zeroes of the polynomial x^3-6x^2-x+30, then fin...

Solve the given pair of linear equations by substitution method:3x-2y=3 2x-y=4...

if the quadratic expression px^2+qx+r has the same sign as that of p ,then find ...

prove that 2 is an irrational number40ae0be6f694fd07b84a730618e5d283 9771

Find the next number in the given sequence: 7, 9 ,13 ,21...

divide the polynomial x 2x7x4 by x 3 alsoshow the complete method

find the zeroes of px2x2 122x22 by factorisation method

Recommend Questions

Helpful Links

Helpful Social