Answer :
Final answer:
The simplified expression with negative exponents removed is -27x^4 + 27x^5 - 45/(x^2).
Explanation:
To simplify the expression (-27x^(6)+27x^(7)-45)/(9x^(2)) and remove negative exponents, we will apply the rule for negative exponents.
First, let's rewrite the expression using positive exponents:
(-27x^(6)+27x^(7)-45)/(9x^(2)) = (-27/x^2)(x^6) + (27/x^2)(x^7) - (45/x^2)
Now, we can simplify each term:
- (-27/x^2)(x^6) = -27x^(6-2) = -27x^4
- (27/x^2)(x^7) = 27x^(7-2) = 27x^5
- (45/x^2) = 45x^(-2) = 45/(x^2)
Combining the simplified terms, we have:
-27x^4 + 27x^5 - 45/(x^2)
Learn more about simplifying expressions with negative exponents here:
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