Making exponents multiply and add with variables

[cr6579]

If I have an expression such as

(ML^-3)^a(ML²T^-2)^b(T)^c

how can I make PocketCAS rearrange it so that it gives me something like

M^a+bL^-3a+2bT^2b+c

Also, if this expression was part of an equation, would there be a way to equate exponents from the two sides of the equation and solve for a,b, and c?

[MrMage]

Hello,

In PocketCAS pro, this is possible. You'd just enter simplify(expression) or factor(expression). You can also solve with solve(expression1=expression2,variableToSolveFor).

Daniel

[cr6579]

When I "factor" as you instructed with the above expression, it returns the exact same expression.  When I use "simplify", it returns a large and complex expression with "e^" components.  If I set the equation equal to L as desired and ask it to solve for T, it returns an error that says "Unable to isolate T in (some expression resembling my original one)"

So no luck with those functions :/ Any other ideas?

[MrMage]

Hi,

The CAS developer, Mr. Parisse, told me that there is no easy solution. The best you can do is probably to calculate

F:=reorder(lnexpand(ln((M*L^(-3))^a*(M*L^2*T^(-2))^b*(T)^c)),[ln(M),ln(L),ln(T)]),

which of course only describes the logarithm of the original expression.

Daniel