So you probably know your exponent basics: Add the exponents, if you multiply the bases; multiply the exponents if you have an exponent to an exponent. You probably even know your negative exponents and your fraction exponents. So what could possibly go wrong, if you get an SAT question that deals with basic exponent rules?
Well, try out this beast of a challenge problem (and then, watch my explanation video below!).
If x^y < 0, then which of the following must be true?
y < 0
y is odd
xy is negative
(A) I only
(B) I & II
(C) I & III
(D) II only
(E) None of the above.
Leave me any comments or questions you have below! 🙂
Chris Lele is the GRE and SAT Curriculum Manager (and vocabulary wizard) at Magoosh Online Test Prep. In his time at Magoosh, he has inspired countless students across the globe, turning what is otherwise a daunting experience into an opportunity for learning, growth, and fun. Some of his students have even gone on to get near perfect scores. Chris is also very popular on the internet. His GRE channel on YouTube has over 10 million views.
You can read Chris's awesome blog posts on the Magoosh GRE blog and High School blog!
You can follow him on Twitter and Facebook!
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SAT Question of the Day
A cartographer owns a square map in which one inch corresponds to 7/3 of a mile. What is the area of the map in square inches if the map covers a territory of 49 square miles?