AlgMap-1.5 Simplify the algebraic expression \[{@c^a*c^b@}.\] Be sure to leave your answer in the form: \(x^y\).

[[input:ans]] [[validation:ans]]

]]> Remember the rule that the rule, \(c^a+c^b=c^{a+b}\).

In this exmaple: \[c^{@a@}+c^{@b@}=c^{@ev(a+b,simp)@}.\]

]]> 1 0.1 0 a:ev(rand(6)+2,simp); b:ev(rand(6)+2,simp); p:(ev(c^a,simp)*ev(c^b,simp)); ta:ev(c^(a+b),simp); [[feedback:prt1]]

]]> \( {@c^a*c^b@} = {@ta@} \). 0 0 0 *10 dot 1 i cos-1 lang [ 0 {"author":[{"firstName":"Tony","lastName":"Barnard","institution":"","year":"1999"}],"language":["en"],"isPartOf":"STACK Library - Algebra Refresher","license":"cc-sa-4.0","additional":{"UoE":{"Notes":"This is automatically generated metadata."}},"freeform":{}} ans algebraic ta 15 1 0 0 ratsimp 1 1 1 1 1 prt1 1.0000000 0 1 0 EqualComAss ans ta 0 = 1.0000000 -1 1-0-T = 0.0000000 1 1-0-F 1 AlgEquiv ans ta 0 = 0.0000000 -1 1-1-T Your answer is equivalent to the correct answer but you haven't fully simplified.

]]> = 0.0000000 -1 1-1-F 128137392 2051957692 1375878840 147752938 1429917072 1652793006 1814142093 563558373 1641811929 249014580 1 ans ta prt1 1.0000000 0.0000000 1-0-T 2 ans p prt1 0.0000000 0.1000000 1-1-T