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24
0308 Final Review
Question 53, 4.7.17
HW Score: 
94.2%,65
Points: 0 of 1
Divide and simplify.

(5n^(9)-40n^(5)+10n^(2))/(-5n^(4))

2424\newline03080308 Final Review\newlineQuestion 5353, 44.77.1717\newlineHW Score: 94.2%,65 94.2 \%, 65 \newlinePoints: 00 of 11\newlineDivide and simplify.\newline5n940n5+10n25n4 \frac{5 n^{9}-40 n^{5}+10 n^{2}}{-5 n^{4}}

Full solution

Q. 2424\newline03080308 Final Review\newlineQuestion 5353, 44.77.1717\newlineHW Score: 94.2%,65 94.2 \%, 65 \newlinePoints: 00 of 11\newlineDivide and simplify.\newline5n940n5+10n25n4 \frac{5 n^{9}-40 n^{5}+10 n^{2}}{-5 n^{4}}
  1. Divide and Simplify: Divide each term in the numerator by the term in the denominator.\newline(5n95n4)(40n55n4)+(10n25n4)(\frac{5n^{9}}{-5n^{4}}) - (\frac{40n^{5}}{-5n^{4}}) + (\frac{10n^{2}}{-5n^{4}})
  2. Subtract Exponents: Simplify each fraction by dividing the coefficients and subtracting the exponents. (1n94)+(8n54)(2n24)(-1n^{9-4}) + (8n^{5-4}) - (2n^{2-4})
  3. Perform Exponent Subtraction: Perform the exponent subtraction for each term.\newline(1n5)+(8n1)(2n2)(-1n^{5}) + (8n^{1}) - (2n^{-2})
  4. Rewrite Negative Exponent: Rewrite the negative exponent as a fraction. (1n5)+(8n)(2n2)(-1n^{5}) + (8n) - (\frac{2}{n^{2}})
  5. Combine Terms: Combine the terms to get the final simplified expression. n5+8n2n2-n^{5} + 8n - \frac{2}{n^{2}}

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