MCQ
${7^{300}}$ નો એકમનો આંક મેળવો.
- A$7$
- B$9$
- ✓$1$
- D$3$
Now, ${7^{300}} = {({7^2})^{150}} = {(50 - 1)^{150}}$
= $^{150}{C_0}{(50)^{150}}{( - 1)^0} + {\,^{150}}{C_1}{(50)^{149}}{( - 1)^1} + ...... + {\,^{150}}{C_{150}}{(50)^0}{( - 1)^{150}}$
Thus the last digits of ${7^{300}}$ are $^{150}{C_{150}}.1.1$ $i.e., 1$.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.