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College & Me
Eighth grade
C. 17 Divide powers: variable bases
DLA
Simplify. Express your answer

(10 jk^(3))/(2j^(4)k)

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Class Websites\newlineGames\newlineCollege \& Me\newlineEighth grade\newlineC. 1717 Divide powers: variable bases\newlineDLA\newlineSimplify. Express your answer\newline10jk32j4k \frac{10 j k^{3}}{2 j^{4} k} \newline \square \newlineSubmit

Full solution

Q. Class Websites\newlineGames\newlineCollege \& Me\newlineEighth grade\newlineC. 1717 Divide powers: variable bases\newlineDLA\newlineSimplify. Express your answer\newline10jk32j4k \frac{10 j k^{3}}{2 j^{4} k} \newline \square \newlineSubmit
  1. Divide Coefficients: Divide the coefficients 1010 by 22. \newline10/2=510 / 2 = 5.
  2. Divide Variables: Divide the variables with the same base, j1j^1 by j4j^{4}. \newlinej1/j4=j14=j3.j^1 / j^{4} = j^{1-4} = j^{-3}.
  3. Combine Simplified Terms: Divide the variables with the same base, k3k^{3} by k1k^1. \newlinek3/k1=k31=k2k^{3} / k^1 = k^{3-1} = k^{2}.
  4. Combine Simplified Terms: Divide the variables with the same base, k3k^{3} by k1k^1. k3/k1=k31=k2k^{3} / k^1 = k^{3-1} = k^{2}. Combine the simplified coefficients and variables. 5×j3×k25 \times j^{-3} \times k^{2}.

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