Simplify an expression involving indices

Course Queries Syllabus Queries 3 years ago

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manpreet Tuteehub forum best answer Best Answer 3 years ago

One of my friends asked me this question: Simplify

503x11023x2503x+1503x−1102−3x2503x+1

I've been thinking about the question for more than a day. I've looked through my teacher's notes but none of the examples my teacher gave is similar to this question. It's from Form 4 syllabus, Chapter 5: Logarithms and Indices. Any help would be much appreciated. Thanks :)

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manpreet 3 years ago

Hint: Two approaches: 1)If you write 2503x+1=25022503x12503x+1=2502⋅2503x−1 you can cancel some things. 2)Note that you only have factors of 22 and 55. Break up 50,10,25050,10,250 into 22's and 55's and find the exponent for each. I think the second is what is intended, but the first is what hit me first and it may help in other situations.


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