Mathematics
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OpenStudy (anonymous):
2/3a x 2/3a^2 please simplify i got 4/3a^2 i just want someoneto check it.
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OpenStudy (anonymous):
seems right to me.
OpenStudy (jdoe0001):
ahemm, \(3a = 3\times a^1 \implies 3a^1 \times 3a^2 =\ ?\)
OpenStudy (anonymous):
idk what u mean?
OpenStudy (jdoe0001):
is this what you have
\(
\cfrac{2}{3a}\times \cfrac{2}{3a^2} \ ?
\)
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OpenStudy (anonymous):
yes
OpenStudy (jdoe0001):
so, what would you get for \(\large 3a = 3\times a^1 \implies 3a^1 \times 3a^2 =\ ? \)
OpenStudy (anonymous):
3a^2
OpenStudy (jdoe0001):
if you checked the picture above, for the exponential properties :|
OpenStudy (anonymous):
is my answer right or not?
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OpenStudy (jdoe0001):
well, \(2\times2=4\), so, the numerator is ok
OpenStudy (anonymous):
so ur saying my denom is wrong....
OpenStudy (jdoe0001):
now, if \( 3a^1 \times 3a^2 = 3a^2\) that means that \(\boxed{3a^1 \times 3a^2} = \boxed{3a^2}\) are they if using the exponent properties?
OpenStudy (anonymous):
no?
OpenStudy (jdoe0001):
dunno, look at the picture, the 1st of the properties, also you're skipping on the coefficient
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OpenStudy (anonymous):
so its 3a^1 x 3a^@ is 3a^3?
OpenStudy (anonymous):
3a^2
OpenStudy (jdoe0001):
\(a^3\) is ok, you're still skipping on the coefficients
OpenStudy (anonymous):
what are they then?
OpenStudy (anonymous):
do u want me to multiply the 3?
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OpenStudy (anonymous):
like with the 3a^1 and 3a^2?
OpenStudy (jdoe0001):
well, yes :|
OpenStudy (anonymous):
please explain what im doing wrong here jdoe?
OpenStudy (jdoe0001):
$$
3a^1 \times 3a^2 = (\color{blue}{3\times3})(a^{\color{blue}{1+2}})
$$