Question

fully simplify using only positive exponents.\\(\frac{5c^{3}}{(4c^{6})(10c^{4})}\\)\
answer attempt 1 out of 2\
\\(\odot\\) additional solution \\(\odot\\) no solution\
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Explanation:

Step1: Multiply denominator constants

$(4 \times 10) = 40$

Step2: Combine denominator variables

$c^6 \times c^4 = c^{6+4} = c^{10}$

Step3: Simplify the fraction constants

$\frac{5}{40} = \frac{1}{8}$

Step4: Simplify the fraction variables

$\frac{c^3}{c^{10}} = c^{3-10} = c^{-7} = \frac{1}{c^7}$

Step5: Combine simplified terms

$\frac{1}{8} \times \frac{1}{c^7}$

Answer:

$\frac{1}{8c^7}$