How do you simplify #t^ (-5 /4)#?

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Answer 1 · 2018-05-04T05:36:34

#1/(root4(t^5)#

Expression #= t^(-5/4)#

Here we will use the following properties of exponents:

(i) #t^-n = 1/t^n#

(ii) #t^(m/n) = (t^m)^(1/n)#

(iii) #t^(1/n) = rootn(t)#

Apply (i)
Expression #= 1/t^(5/4)#

Apply (ii)
Expression #= 1/(t^5)^(1/4)#

Apply (iii)
Expression #= 1/(root4(t^5)#