what to do?

Is this supposed to be this?

T0_-1_617837.jpg
 
I still need some help on where to begin with this problem. I think its the fractions within the problem that I am having problems with.
Someone please advise on where to begin?
 
Examples:
a^7 / a^(-2) = a^9
a^7 / a^2 = a^5
Did you know/remember that?

So (in your problem) a^(-3/4) / a^(-2) = a^(-3/4 + 2) = a^(5/4)

Also, 54/2 * (2/3) = 18

Is that enough ?
 
18a ^5/6b^2/3
Click to expand...

No. If the problem is as Euler wrote it, your b exponent is wrong. (Please learn proper notation, especially use of parentheses.)

((b^5)/(b^2)) = ?
 
Nope...
You've got the number part right, though. It seems that you've applied 2/3 multiplier to the a and b's exponents. If the example looks like Euler wrote then it is not needed: 2/3 is simply another fraction that has to be multiplied by whatever left from the first one and you already did that- that's where 18 came from, right?
Compare:
(x^2/y^3)(5/6) = 5x^2/6y^3;
and
(x^2/y^3)^(5/6) = x^(5/3)/y^(5/2) - in this case 5/6 is not simply a fraction but an exponent that has to be applied to every part of the expression in the parentheses.
 
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