Another question--similar. I did try, but couldn't get it right for some reason.
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OpenStudy (anonymous):
what did you do ?
hartnn (hartnn):
what is 11/33 = ?
hartnn (hartnn):
\(\huge \frac{a^m}{a^n}=a^{m-n}\)
hartnn (hartnn):
keep it as 1/3
hartnn (hartnn):
\(\huge \frac{d^2}{d^4}=d^{2-4}\)
when division, you subtract the exponents
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hartnn (hartnn):
then what will be e^5/e^2 ?
hartnn (hartnn):
that is correct!
hartnn (hartnn):
e^5/e^2 = e^{5-2} = e^3
hartnn (hartnn):
and the exponent of d u got ?
hartnn (hartnn):
yup, but thats in denominator.
now there is ^2 overall, so just double all the exponents, what u get?
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hartnn (hartnn):
yes double.
3*2 = 6 and not 9
so u get e^6
d^4
and whats the square of (1/3) ?
hartnn (hartnn):
no, square
(1/3)(1/3)=?
hartnn (hartnn):
yup, 9 in denominator.
so which option is it ?
hartnn (hartnn):
yup
hartnn (hartnn):
sure
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OpenStudy (anonymous):
it becomes
\[\frac{ (-4)^3(x^2)^3 }{ x^3(z^2)^3 }\]
OpenStudy (anonymous):
what will you get then ?
OpenStudy (anonymous):
first you forgot z..
the second thing is that at the numerator you got (x^2)^3 which is x^(2*3)
in the denominator you got only x^3
OpenStudy (anonymous):
so you meant to write on the denominator z^6 instead of x^6 ..
you just wrote it wrong
but if thats what you meant so it is correct
\[\frac{ -64x^3 }{ z^6 }\]