QuestionAugust 24, 2025

2. ((3c^2)^4(3c^3))/((3c^3))^(3) work

2. ((3c^2)^4(3c^3))/((3c^3))^(3) work
2.
((3c^2)^4(3c^3))/((3c^3))^(3)
work

Solution
4.6(253 votes)

Answer

9c^2 Explanation 1. Simplify the numerator Calculate (3c^2)^4 = 81c^8 and multiply by 3c^3 to get 243c^{11}. 2. Simplify the denominator Calculate (3c^3)^3 = 27c^9. 3. Divide the simplified terms Divide 243c^{11} by 27c^9: \frac{243}{27} = 9 and c^{11}/c^9 = c^2.

Explanation

1. Simplify the numerator<br /> Calculate $(3c^2)^4 = 81c^8$ and multiply by $3c^3$ to get $243c^{11}$.<br />2. Simplify the denominator<br /> Calculate $(3c^3)^3 = 27c^9$.<br />3. Divide the simplified terms<br /> Divide $243c^{11}$ by $27c^9$: $\frac{243}{27} = 9$ and $c^{11}/c^9 = c^2$.
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