thank you so much for the help earlier
can you tell me if I did this one right
2/(cuberroot16)= (2cuberoot16)/16 it seems to simple
no, not correct
first of all cr(16) = cr(8)*cr(2) = 2cr(2)
so your question is really just
1/cr(2)
now just multiplying top and bottom by cr(2) does not do it, you have to multiply top and bottom by cr(2)cr(2)
to get
(cr(2))^2/2 or 2^(2/3) /2
wait your doing this right
2/2cr2 i get ok
(2/2cr2)(2cr2/2cr2)= 4cr2/(2cr2)^2
I don't get how you got that answer can you please help me understand when you multiply out
ok, from the top ...
2/cr(16)
= 2/(2cr(2))
= 1/cr(2)
= 1/cr(2) * [cr(2)cr(2)]/[cr(2)cr(2)]
on the bottom we now have cr(2)^3 which is 2, so
= [cr(2)]^2/2
(if you work out the original on a calculator you get .7937...
work out my answer on a calculator you get .7937...)
thank you so much =)
You're welcome! I'd be happy to help you verify if your simplification is correct.
To determine if the expression 2/(cuberoot16) can be simplified to (2cuberoot16)/16, we can apply the rules of exponents and simplify both sides.
Let's break it down step by step:
1. Simplifying the denominator:
The cuberoot of 16 is 2 because 2 * 2 * 2 = 8.
So, we have 2/(cuberoot16) = 2/2.
2. Simplifying the numerator:
We have 2 * cuberoot(16) = 2 * 2 = 4.
Now let's compare both sides of the equation:
Left side: 2/(cuberoot16) = 2/2 = 1
Right side: (2cuberoot16)/16 = (2 * 2)/16 = 4/16 = 1/4
Since 1 and 1/4 are not equal, it seems like there was an error in the simplification. The expression 2/(cuberoot16) cannot be simplified to (2cuberoot16)/16.
To further simplify the expression 2/(cuberoot16), we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the cuberoot of 16, which is (cuberoot16)^2. This would yield:
2/(cuberoot16) * (cuberoot16)^2/(cuberoot16)^2 = 2 * (cuberoot16)^2 / (cuberoot16 * cuberoot16)
Simplifying this expression would provide the most simplified form.