Question

(a^3b)^7(a^7b^7) simplify

Answer 1

a²⁸b¹⁴

Explanation:

`\text{Use}\\\\(ab)^n=a^nb^n\\\\\bigg(a^n\bigg)^m=a^(nm)\\\\a^n\cdot a^m=a^(n+m)\\--------------------\\\\\bigg(a^3b\bigg)^7\bigg(a^7b^7\bigg)=\bigg(a^3\bigg)^7(b^7)(a^7)(b^7)=(a^(3\cdot7))(a^7)(b^7)(b^7)\\\\=\bigg(a^(21+7)\bigg)\bigg(b^(7+7)\bigg)=\boxed{a^(28)b^(14)}`