Mathematics
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OpenStudy (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
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OpenStudy (anonymous):
@welshfella
OpenStudy (anonymous):
@Nnesha
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
OpenStudy (anonymous):
ok
Nnesha (nnesha):
expression is \[\huge\rm 4^6 \times 4^{-8}\]
bases are same so add their exponents
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OpenStudy (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 **
OpenStudy (anonymous):
wait isnt it flipped already because the exponents already positive?
Nnesha (nnesha):
no it's not
you just said it's -2
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Nnesha (nnesha):
\[\huge\rm 4^{6+(-8)}= 4^{-2}\]
OpenStudy (anonymous):
hmm 2^4?
OpenStudy (welshfella):
lol Nnesha you are making money!!
OpenStudy (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
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Nnesha (nnesha):
lol welshfella
OpenStudy (anonymous):
ok zo the fractions was
OpenStudy (anonymous):
so*
Nnesha (nnesha):
it's \[4^{-2}~is ~ same ~ as ~\frac{ 4^{-2} }{ 1}\]
OpenStudy (anonymous):
ohhhhhh
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OpenStudy (anonymous):
1/4^2
Nnesha (nnesha):
perfect!
OpenStudy (anonymous):
:D
Nnesha (nnesha):
D:
OpenStudy (anonymous):
so a?
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Nnesha (nnesha):
no its D
OpenStudy (anonymous):
thats 4^14
Nnesha (nnesha):
so why did you ask ? lol
ofc its a
OpenStudy (anonymous):
oh xDD
OpenStudy (anonymous):
Thanks ur awesome