Question

simplify:
\\((2a^6b^3 \cdot 3ab^9)^3\\)
entry tip: use ^ (shift+6) for exponents. to type \\(x^2\\) type \x^2\

Explanation:

Step1: Multiply coefficients and like bases

$2 \cdot 3 \cdot a^{6+1} \cdot b^{3+9} = 6a^7b^{12}$

Step2: Apply exponent to each term

$(6)^3 \cdot (a^7)^3 \cdot (b^{12})^3$

Step3: Calculate each component

$6^3=216$, $(a^7)^3=a^{7 \cdot 3}=a^{21}$, $(b^{12})^3=b^{12 \cdot 3}=b^{36}$

Step4: Combine the results

$216a^{21}b^{36}$

Answer:

$216a^{21}b^{36}$