Answer: 2187x^14y^42
Step-by-step explanation:
The given expression is
(3x^2y^6)^7
All the terms enclosed in the parenthesis is raised to the power of seven. We would apply the following rule of indices
(a^b)^c = a^ b×c
This rule will be applied to each term in the parenthesis. This means that each term will be simplified separately. It becomes
(3x^2)^7 × (y^6)^7
= [3^7 × (x^2)^7] × (y^6)^7
= 2187 × x^14 × y^42
Each simplified term is brought back together. It becomes
2187x^14y^42
