Question

The last 3 digits of ${25}^{63}\times {63}^{25}$ are 3, 7, 5

• A. True
• B. False

Answer 1

The correct option is A True

Consider the first term ${25}^{63}$ unit place is 5 and in power unit place is 3

so $5^3=125-\left(1\right)$

Now in the second term unit place is 3 and unit place of power is 5

$3^5=243-\left(2\right)$

Multiplying eqs. (1) and (2)

$125\times 243=30375$

The last thee digits are $3,7,5.$