nuccioreggie
  • nuccioreggie
Which expression is equivalent to 54 ⋅ 5–6? 5–10 56 fraction 1 over 5 to the power 2 fraction 1 over 5 to the power negative10
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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nuccioreggie
  • nuccioreggie
@whpalmer4
Vocaloid
  • Vocaloid
rule of exponents: a^b/a^c = a^(b-c)
nuccioreggie
  • nuccioreggie
@Triciaal

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More answers

nuccioreggie
  • nuccioreggie
@welshfella
nuccioreggie
  • nuccioreggie
Please help dont leave
whpalmer4
  • whpalmer4
is that \[54\cdot 5^{-6}\]
whpalmer4
  • whpalmer4
or \[5^4\cdot 5^{-6}\]?
whpalmer4
  • whpalmer4
I'm guessing the latter
welshfella
  • welshfella
I'm a bit confused by the question is it |dw:1433799168849:dw|
nuccioreggie
  • nuccioreggie
Yea the second one u drew @whpalmer4
whpalmer4
  • whpalmer4
oh, yeah, it must be \[5^4 * 5^{-6}\] okay, so rules of exponents, if you multiply two exponents with the same base, \[b^m*b^n = b^{m+n}\]
whpalmer4
  • whpalmer4
here you have \[5^4*5^{-6} = 5^{4+(-6)} =\]
nuccioreggie
  • nuccioreggie
I think B
whpalmer4
  • whpalmer4
B is \[5^6\]right?
whpalmer4
  • whpalmer4
what does \[ 4 + (-6) = \]
nuccioreggie
  • nuccioreggie
-2
nuccioreggie
  • nuccioreggie
And yes it is
nuccioreggie
  • nuccioreggie
U there do you know the answer?
nuccioreggie
  • nuccioreggie
I have 1 more question by the way
nuccioreggie
  • nuccioreggie
Do you know the answer @welshfella
whpalmer4
  • whpalmer4
so \[5^{-2}\]but does that appear in your answer choices?
whpalmer4
  • whpalmer4
here's another property of exponents: \[b^{-n} = \frac{1}{b^n}\]
nuccioreggie
  • nuccioreggie
So ok its C
whpalmer4
  • whpalmer4
yes. \[5^{-2} = \frac{1}{5^2}\]

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