What is the unit digit in ${(4137)}^{754}$ ?

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $9$
Unit digit in ${(4137)}^{754} =$ Unit digit in $[{(4137^{4})}^{188} \times {(4137)}^{2}]$
$=$ Unit digit in $(292915317923361 \times 17114769)$
$= (1 \times 9) = 9$

Suggest Corrections

Similar questions

7^{105} =

(7^{95} - 3^{58})

(1 + 9 + 9^{2} + 9^{3} + . . . . . + 9^{2006})

(1 + 9 + 9^{2} + 9^{3} + . . . . + 9^{2009})

3

\frac{1}{7}

Join BYJU'S Learning Program