SOLUTION: Can someone help me with this. Thanks for your time on this. 1. What is the largest integer power of two that is less than 665?

Question 643932: Can someone help me with this. Thanks for your time on this.
1. What is the largest integer power of two that is less than 665?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I know that , and that helps me figure out that is the larges power of 2 with an integer exponent that is less than 665.
If/when I did not remember that,
I would calculate

and so on, so

and

Of course I would not write all that just to calculate . I would just write the results one after the other or one above the other:
2, 4, 8, 16, 32, 64, 128, 256, 512, 1024,
and then I would count to find that 512 is the 9th number in that geometric sequence/progression,
so it is thwe product of with nine twos, so it's .
RELATED QUESTIONS
Please help me solve this word problem. For a set of 3 conseconsecutive odd integers, 3... (answered by ankor@dixie-net.com)

Can someone help me on this problem? What is the algebriac equation of: A number (answered by Nate)

the least integer power of 12 that is divisible by 18 raised to the power 180,,is 12... (answered by Edwin McCravy)

Can someone help me with this equation? Jill budgets 1/5 of her yearly salary for... (answered by stanbon)

I was needing a little help on this problem: What is the smallest of 3 consecutive... (answered by rothauserc)

Can someone help me on this? What is the algebriac equation for: A number less... (answered by checkley71)

the question is : do you agree with the following statment, if not, why? (answered by Alwayscheerful)

These word peoblems really confuse me. Can someone help me with this one. If one-half... (answered by stanbon)

Hello, Can someone please help me to understand this problem? Thanks 1. You are... (answered by rfer)