uslalas22 wrote:Is there a quick method besides going through all of the exponents one by one as the solution here proposes. Or its just a matter of knowing these exponential properties?
no, not really a "quick method"; in fact, a big part of the purpose of problems like this one is to foil people who are looking for quick algebraic methods for everything.
if you don't know these numbers already:
you should make ARITHMETIC FLASH CARDS with the following numbers:
* perfect squares, up to 25^2 (i.e., 11^2, 12^2, 13^2, ..., 25^2)
* perfect cubes, up to 10^3 (i.e., 1^3, 2^3, 3^3, ..., 10^3)
* powers of 2, up to 2^10 (i.e., 2^1, 2^2, 2^3, ..., 2^10)
- in addition to knowing the exact values (up to 2^10 = 1024), you should also know that 2^10 is "approximately 1000". that will help a lot with estimation.
* powers of 3, up to 3^6 (i.e., 3^1, 3^2, 3^3, ..., 3^6)
* powers of 10, up to 10^9 (i.e., 10^1, 10^2, 10^3, ..., 10^9)
mix these all up and quiz yourself.
Ron has been teaching various standardized tests for 20 years.
--
Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi
--
Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.
Yves Saint-Laurent
--
Learn more about ron
