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Perform the division.

{:[(10x^(15)-15x^(12)+25x^(9)-45x^(6))÷(5x^(18))],[(10x^(15)-15x^(12)+25x^(9)-45x^(6))÷(5x^(18))=]:}

◻ (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Perform the division.\newline(10x1515x12+25x945x6)÷(5x18)(10x1515x12+25x945x6)÷(5x18)= \begin{array}{l} \left(10 x^{15}-15 x^{12}+25 x^{9}-45 x^{6}\right) \div\left(5 x^{18}\right) \\ \left(10 x^{15}-15 x^{12}+25 x^{9}-45 x^{6}\right) \div\left(5 x^{18}\right)= \end{array} \newline \square (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Full solution

Q. Perform the division.\newline(10x1515x12+25x945x6)÷(5x18)(10x1515x12+25x945x6)÷(5x18)= \begin{array}{l} \left(10 x^{15}-15 x^{12}+25 x^{9}-45 x^{6}\right) \div\left(5 x^{18}\right) \\ \left(10 x^{15}-15 x^{12}+25 x^{9}-45 x^{6}\right) \div\left(5 x^{18}\right)= \end{array} \newline \square (Simplify your answer. Use integers or fractions for any numbers in the expression.)
  1. Simplify Terms: Simplify each term by dividing the coefficients and subtracting the exponents. \newline105x1518155x1218+255x918455x618\frac{10}{5}x^{15-18} - \frac{15}{5}x^{12-18} + \frac{25}{5}x^{9-18} - \frac{45}{5}x^{6-18}
  2. Perform Operations: Perform the division and subtraction.\newline2x33x6+5x99x122x^{-3} - 3x^{-6} + 5x^{-9} - 9x^{-12}
  3. Rewrite with Positive Exponents: Rewrite the expression using positive exponents.\newline2x33x6+5x99x12\frac{2}{x^{3}} - \frac{3}{x^{6}} + \frac{5}{x^{9}} - \frac{9}{x^{12}}