Home
Class 10
MATHS
Show that 12^(th) cannot end with the di...

Show that `12^(th)` cannot end with the digit 0 or 5 for any natural number n.

Text Solution

Verified by Experts


`:. 12=2xx2xx3=2^(2)xx3`
`implies 12^(n)=(2^(2)xx3)^(n)=2^(2n)xx3^(n)`
`:.` it has no term containing 5. ltbr. `:.` no vaule of n `in ` N for which `12^(n)` ends with digit 0 or 5. Hence Proved.
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Solved Example|15 Videos

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/ Exemplar|11 Videos

  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|6 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

Show that 12^n cannot end with the digits 0 or 5 for any natural number n

Check whether 12^n can end with the digit 0 for any natural number n.

Check whether 12^n can end with the digit 0 for any natural number n.

Check whether 12^n can end with the digit 0 for any natural number n .

Check whether 6^(n) can end with the digit '0' (zero) for any natural number n.

Check whether 6^(n) can end with the digit 0 (zero) for any natural number n .

Check whether 6^n can end with the digit 0 for any natural number n .

Check whether 6^n can end with the digit 0 for any natural number n .

Check whether 6^n can end with the digit 0 for any natural number n .

Check whether 6^n can end with the digit 0 for any natural number n .