Simplify write with only positive exponents! asap and don’t delete the question i need with it so bad! : (

b^(10/3)/a^3

Two rules of exponents are involved:

... a^-b = 1/a^b

... (a^b)^c = a^(bc)

Here, this means we can rewrite the given expression as ...

... (a^(4/5)/b^(8/9))^(-15/4) = a^(4/5·(-15/4))/b^(8/9·(-15/4)) . . . . . multiply outer exponent by inner exponents per 2nd rule

... = a^-3/b^(-10/3) . . . . simplify the exponents

... = b^(10/3)/a^3 . . . . . swap numerator and denominator and change exponent signs per 1st rule

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130