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Simplify write with only positive exponents!Please help ASAP and don’t delete the question I need help with it so bad! :(

Simplify write with only positive exponents!Please help ASAP and don’t delete the-example-1

1 Answer

5 votes

Answer:

b^(10/3)/a^3

Explanation:

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

User Dazonic
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