Question
a). Simplity Exporents 1.] \( \frac{-12 a^{19}}{-18 a^{6}} \)
Ask by Patel Ellis. in South Africa
Feb 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified form is \( \frac{2a^{13}}{3} \).
Solution
Calculate or simplify the expression \( \frac{-12a^{19}}{-18a^{6}} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{-12a^{19}}{-18a^{6}}\)
- step1: Reduce the fraction:
\(\frac{-12a^{19-6}}{-18}\)
- step2: Reduce the fraction:
\(\frac{-12a^{13}}{-18}\)
- step3: Reduce the fraction:
\(\frac{2a^{13}}{3}\)
The simplified form of the expression \( \frac{-12a^{19}}{-18a^{6}} \) is \( \frac{2a^{13}}{3} \).
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Simplify this solution Extra Insights
To simplify the expression \( \frac{-12 a^{19}}{-18 a^{6}} \), start by canceling out the negative signs. This gives you \( \frac{12 a^{19}}{18 a^{6}} \). Next, simplify the coefficients: \( \frac{12}{18} = \frac{2}{3} \). Now focus on the variables; using the property \( \frac{a^m}{a^n} = a^{m-n} \), we get \( a^{19 - 6} = a^{13} \). So the final answer is \( \frac{2}{3} a^{13} \). To put it plainly, simplifying fractions with exponents is like finding the best way to organize your closet—you're just putting the bigger pieces in order and getting rid of the excess baggage!
