Question

simplify the expression. assume the variable represents a nonzero real\\(\left(-9y^{9}\
ight)^{3}\\)\\(\left(-9y^{9}\
ight)^{3}=\boxed{-9y^{12}}\\)\\(\text{(simplify your answer. type exponential notation with positive exponents )}\\)

Explanation:

Step1: Apply power of a product rule

$(-9y^9)^3 = (-9)^3 \cdot (y^9)^3$

Step2: Calculate constant term

$(-9)^3 = -729$

Step3: Apply power of a power rule

$(y^9)^3 = y^{9 \times 3} = y^{27}$

Step4: Combine the results

$-729 \cdot y^{27}$

Answer:

$-729y^{27}$