Question

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

Explanation:

Step1: Multiply terms in numerator

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

Step2: Apply power of a product rule

$(6k^6)^3 = 6^3 \cdot (k^6)^3 = 216k^{18}$

Step3: Divide by denominator term

$\frac{216k^{18}}{k^2} = 216k^{18-2}$

Step4: Simplify the exponent

$216k^{16}$

Answer:

$216k^{16}$