anonymous
  • anonymous
Simplify. Give answers using positive exponents. Leave your answer in exponential notation. (3^6)^-9
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Jhannybean
  • Jhannybean
let's say we take our (3^6) and substitute that for "f" another way to write f ^-9 is by putting it under 1. 1/f^9
anonymous
  • anonymous
3^-3 maybe
Jhannybean
  • Jhannybean
now that it's rewritten as 1/f^9 , we can re substitute " f " back in, so we would have 1/(3^6)^9 = 1/3^(6 * 9) can you solve this now? :)

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Jhannybean
  • Jhannybean
remember: \(\large (a^x)^y = a^{x*y}\)
Jhannybean
  • Jhannybean
where x and y are exponents.
anonymous
  • anonymous
Ok
Jhannybean
  • Jhannybean
what did you get for your answer?
anonymous
  • anonymous
1/3^-54
Jhannybean
  • Jhannybean
remember how we took (3^6) as f? and then we had ( f )^-9? in order to make ( f )^-9 positive, we bring f AND the exponent under a 1, to make it a fraction. so therefore we would have 1/ ( f )^9 Are you following?
anonymous
  • anonymous
ok 1/3^54 thank-you kindly
Jhannybean
  • Jhannybean
no problem :) do you understand how this works now? :)
anonymous
  • anonymous
Indeed I do. Many thanks again
Jhannybean
  • Jhannybean
Great! :D

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