anonymous
  • anonymous
Which expression is equivalent to 46 ⋅ 4−8? 1 over 4 to the 2nd power 1 over 4 to the 14th power 4^2 4^14
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
Nnesha
  • Nnesha
when we multiply same bases we should `ADD` their exponents \[\huge\rm x^m \times x^n=x^{m+n}\] and please use `^` for exponents

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anonymous
  • anonymous
ok
Nnesha
  • Nnesha
expression is \[\huge\rm 4^6 \times 4^{-8}\] bases are same so add their exponents
anonymous
  • anonymous
-2?
Nnesha
  • Nnesha
yes right now flip the fraction to make it posisitve exponnet \[\huge\rm x^{-m} =\frac{ 1 }{ x^m }\]
Nnesha
  • Nnesha
ugh positive ** exponent **
anonymous
  • anonymous
wait isnt it flipped already because the exponents already positive?
Nnesha
  • Nnesha
no it's not you just said it's -2
Nnesha
  • Nnesha
\[\huge\rm 4^{6+(-8)}= 4^{-2}\]
anonymous
  • anonymous
hmm 2^4?
welshfella
  • welshfella
lol Nnesha you are making money!!
anonymous
  • anonymous
sorry im not the best with fracs and exponents
Nnesha
  • Nnesha
here is an example \[\huge\rm \frac{ x^{-m} }{ 1}=\frac{ 1 }{ x^{m} }\] `flip the fraction` and change the sign that's it :D
Nnesha
  • Nnesha
lol welshfella
anonymous
  • anonymous
ok zo the fractions was
anonymous
  • anonymous
so*
Nnesha
  • Nnesha
it's \[4^{-2}~is ~ same ~ as ~\frac{ 4^{-2} }{ 1}\]
anonymous
  • anonymous
ohhhhhh
anonymous
  • anonymous
1/4^2
Nnesha
  • Nnesha
perfect!
anonymous
  • anonymous
:D
Nnesha
  • Nnesha
D:
anonymous
  • anonymous
so a?
Nnesha
  • Nnesha
no its D
anonymous
  • anonymous
thats 4^14
Nnesha
  • Nnesha
so why did you ask ? lol ofc its a
anonymous
  • anonymous
oh xDD
anonymous
  • anonymous
Thanks ur awesome

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