Question: simplification using the power rule for exponents

I had expected that applying the power rule for exponents would lead to an answer of zero. Maple refuses to give the desired answer, but using a procedure it works as expected.

Did I miss something?
 

``

restart

kernelopts(version)

`Maple 2019.2, X86 64 WINDOWS, Nov 26 2019, Build ID 1435526`

(1)

interface(version)

`Standard Worksheet Interface, Maple 2019.2, Windows 10, November 26 2019 Build ID 1435526`

(2)

simplify(exp(k*(ln(t)+ln(a)))-(exp(ln(t)+ln(a)))^k, symbolic)

exp(k*(ln(t)+ln(a)))-t^k*a^k

(3)

W := proc (m, n) local r; r := simplify(exp(m*n)-(exp(m))^n, symbolic); return r end proc

W(n, k)

0

(4)

subs(n = ln(t)+ln(a), W(n, k))

0

(5)

V := proc (m, n) local r; r := simplify((exp(m))^n, symbolic); return r end proc

V(n, k)

exp(k*n)

(6)

V(ln(t)+ln(a), k)

t^k*a^k

(7)

``


 

Download mapleprimes.mw

Please Wait...