4^17 - 2^28? | fedest.com

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4^17 - 2^28?

I am wondering how to solve this problem using a shorcut rather than a calculator. Any suggestions?

2006-08-22 15:18:44 · 3 answers · asked by Anonymous in Education & Reference ➔ Higher Education (University +)

3 answers

2^28=4^14
4^17=64*4^14
64*4^14-4^14=63*4^14
63*4^14=63*2^28=63*1024^2*256
At this point, you'll still have to do three multiplications, which will be slow if you don't have a calculator. I recommend doing 63*256 and 1024^2 first, then multiplying those results. Your answer will be 16,911,433,728.

2006-08-22 16:04:11 · answer #1 · answered by Pascal 7 · 0⤊ 0⤋

sure

4 ^17 = 2 ^34 so...

does that help?

2006-08-22 15:22:16 · answer #2 · answered by Anonymous · 0⤊ 0⤋

Nope, not me. Maybe the next person might. Anyone?

2006-08-22 15:20:20 · answer #3 · answered by mammma 3 · 0⤊ 0⤋