So I just got back from my math class, we were going over exponents. Right before we left he gave us a problem and we turned it in, I was just wondering if I got it right.(adsbygoogle = window.adsbygoogle || []).push({});

Simplify:

(5^{4-3y})^{3}* (5^{y-2})^{2}

I got:

5^{12-9y3}* 5^{y2-4}

5^{-9y3+y2+8}

I applied the powers to the parenthesis, then added the two exponents. The addition of the exponents is here:

http://www.wolframalpha.com/input/?i=%2812-9y^3%29+%2B+%28y^2+-+4%29

However when I just pop the original problem into wolfram alpha I get:

http://www.wolframalpha.com/input/?i=%28%285^%284-3y%29%29^3%29+*+%28%285^%28y-2%29%29^2%29

5^{8-7y}

So I guess I have two questions. First is my answer right? Second how did Wolfram come up with that answer?

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# Homework Help: Addition Of Exponents

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