Question

simplify the following expression.$\frac{(2c^{2} cdot 3c^{4})^{2}}{c^{3}}$show your work herehint: to add an exponent ($x^{y}$), type \exponent\ or press \^\enter your answer

Explanation:

Step1: Multiply terms in numerator

$2c^2 \cdot 3c^4 = (2 \cdot 3)c^{2+4} = 6c^6$

Step2: Apply exponent to numerator

$(6c^6)^2 = 6^2 \cdot (c^6)^2 = 36c^{12}$

Step3: Divide by denominator

$\frac{36c^{12}}{c^3} = 36c^{12-3}$

Step4: Simplify exponent

$36c^{9}$

Answer:

$36c^9$