A Big Power
This resource is from the Underground Mathematics team.
2^{2000} is a big number!
Here are three questions about it.
1. Without using a calculator, estimate the size of 2^{2000}.
You might like to give your answer as a power of 10.
2. The first two digits of 2^{16}=65536 are 65.
What are the first five digits of 2^{2000}?
You are welcome to use your calculator to help you for this one!
3. The final digit of 2^{16}=65536 is 6, and the final two digits
are 36.
What is the final digit of 2^{2000}?
And what are the final two digits?
Underground Mathematics is hosted by Cambridge Mathematics. The project was originally funded by a grant from the UK Department for Education to provide free web-based resources that support the teaching and learning of post-16 mathematics.
Visit the site at undergroundmathematics.org to find more resources, which also offer suggestions, solutions and teacher notes to help with their use in the classroom.
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