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

597

step-by-step explanation: