Difference between revisions of "1957 AHSME Problems/Problem 12"
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== Solution == | == Solution == | ||
| − | <math>\boxed{\textbf{(C)}}</math> | + | By the rules of [[exponentiation|exponents]], <math>10^{-49}=10*10^{-50}</math>, which clearly exceeds <math>2*10^{-50}</math>. <math>10^{-49}-2*10^{-50}=10*10^{-50}-2*10^{-50}=8*10^{-50}</math>, so we choose answer choice <math>\boxed{\textbf{(C)}}</math>. |
==See Also== | ==See Also== | ||
Latest revision as of 08:15, 25 July 2024
Problem 12
Comparing the numbers 
and 
we may say:
Solution
By the rules of exponents, 
, which clearly exceeds 
. 
, so we choose answer choice 
.
See Also
| 1957 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
