When expanded the units place of $$(3127)^{173}$$ is

Correct Answer: 7

Solution

The units digit of 3127 is 7, and powers of 7 cycle through units digits 7, 9, 3, 1 with period 4. Since $$173=4\times43+1$$, $$(3127)^{173}$$ has the same units digit as $$7^1$$, which is 7.

Get AI Help

Other Cracku’s Useful Resources:

JEE Questions JEE Question Bank JEE Mains Previous Papers JEE Advanced Previous Papers JEE Study Material PDF JEE Mains Mock Test JEE Advanced Mock Test JEE Daily Target

Free JEE Questions

JEE Physics Questions JEE Maths Questions JEE Chemistry Questions

50,000+ JEE Students Trusted Our Score Calculator

Predict your JEE Main percentile, rank & performance in seconds

Check Your Score Now

Ask our AI anything

AI can make mistakes. Please verify important information.