anonymous
  • anonymous
Which statement is true about the value of (5^−n)(5^n)? For n<0, the value of the expression is greater than 1. For all n, the value of the expression is 0. For n<0, the value of the expression is less than 1. For all n, the value of the expression is 1.
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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FortyTheRapper
  • FortyTheRapper
For this one, you just have to test out numbers For the first one it says, for n < 0, the value is greater than 1. So lets say n = -5 for example (5^-5)(5^5) = 1. 1 is not greater than 1, so that one's out The second one says for all n, the answer is 0. Well, we just saw n = 5 turns out to be 1 and 1 does not equal 0, so that one's out too For the third one, it says for all n<0, its less than 1 Again 1 is not less than 1, so that's wrong Now we have D. For all values n, it equals 1 1 does = 1, so lets try n =10 to be safe (5^-10)(5^10) indeed equals 1, so the answer is D, the last choice

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