Rearranging this formula

Question

anonymous · Answer

attachment

anonymous · Answer

In terms of E

anonymous · Answer

My plan was to invert both equations. multiply the powers by 1/3 to cancel them out. Multiply across and take -1 from both sides.

anonymous · Answer

I have the solution, but I cannot get it.

ganeshie8 · Answer

how much u getting ?

anonymous · Answer

@ganeshie8 11,468

anonymous · Answer

should be 8913

ganeshie8 · Answer

hmm your answer looks correct. wolfram gives the answer around yours : 11380 http://www.wolframalpha.com/input/?i=%281%2F%281%2B%28x%2F%281.092*3*1000%29%29%5E3%29+%3D+.0233

anonymous · Answer

I got the solution there, it still doesn't make sense to me how the textbook got this result

ganeshie8 · Answer

gotcha !! http://www.wolframalpha.com/input/?i=%281%2F%28%281%2Bx%2F%281.092*3*1000%29%29%5E3%29+%3D+.0233

ganeshie8 · Answer

guess we both did the same mistake - assuming cube only to the second term of denominator lol

ganeshie8 · Answer

textbook simplified LHS as:

1/x^3   = (1/x)^3

anonymous · Answer

@ganeshie8 I still don't get how wolfram is even doing that :[

anonymous · Answer

I mean it just skips a lot of steps in between.

ganeshie8 · Answer

yeah.

till which step u understand textbook ?

ganeshie8 · Answer

does second step makes sense ?

anonymous · Answer

on wolfram?

ganeshie8 · Answer

nope. ur textbook : 2.jpg

anonymous · Answer

No, I don't get the whole 3 square root thing

anonymous · Answer

I can see that the textbook multiplies out the dominator and divides the square root

ganeshie8 · Answer

okay.
lets see whats happening when we move from First step -> Second step

anonymous · Answer

My problem is definitely understanding $$3\sqrt{0.0233}$$

anonymous · Answer

or where it comes from

anonymous · Answer

You just take cube root of both sides.......

ganeshie8 · Answer

thats right.

just after first step,
1) by using reflexive property, write, LHS = RHS as , RHS = LHS

anonymous · Answer

a=1/b^3    ->  cubert(a) = 1/b

ganeshie8 · Answer

@ironictoaster, did you get estudier explanation ?

anonymous · Answer

Nope : [ I'm looking for a example online about. It's stupid things like this that screws up exams for me.

ganeshie8 · Answer

its okay.

im listing down steps. see if they make sense :
just after first step,
1) by using reflexive property, write, "LHS = RHS" as "RHS = LHS" 
2) take cube root both sides.
then its Second Step

ganeshie8 · Answer

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