Question
18. \( \frac{7 x^{-3} y^{3} z^{3}}{14 x^{4} y^{3} z^{2}} \)
Ask by Turnbull Bowman. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form is \( \frac{z}{2x^{7}} \).
Solution
Calculate or simplify the expression \( \frac{7x^{-3}y^{3}z^{3}}{14x^{4}y^{3}z^{2}} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{7x^{-3}y^{3}z^{3}}{14x^{4}y^{3}z^{2}}\)
- step1: Reduce the fraction:
\(\frac{z}{2x^{7}}\)
The simplified form of the expression \( \frac{7 x^{-3} y^{3} z^{3}}{14 x^{4} y^{3} z^{2}} \) is \( \frac{z}{2x^{7}} \).
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Simplify this solution Mind Expander
To simplify the expression \( \frac{7 x^{-3} y^{3} z^{3}}{14 x^{4} y^{3} z^{2}} \), start by dividing the coefficients and simplifying the variable terms. The coefficient simplifies as follows: \( \frac{7}{14} = \frac{1}{2} \). For the variables, \( x^{-3}/x^{4} = x^{-3-4} = x^{-7} \), \( y^{3}/y^{3} = y^{0} = 1 \), and \( z^{3}/z^{2} = z^{3-2} = z^{1} = z \). Putting it all together, you get: \[ \frac{1}{2} \cdot x^{-7} \cdot z = \frac{z}{2x^{7}} \] Final answer: \( \frac{z}{2x^{7}} \)
