Solution
When $$5^{70} + 7^{70}$$ is divide by 24,
$$\frac{5^{70} + 7^{70}}{24}$$
= $$\frac{(5^2)^{35} + (7^2)^{35}}{24}$$ = $$\frac{25^{35} + 49^{35}}{24}$$
= $$\frac{25^{35}}{24}+ \frac{49^{35}}{24}$$
Remainder = $$(1)^{35} - (1)^{35}$$ = 1 - 1 = 0
Get AI Help
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
