Question

Simplify.

(4a^5b^6)^4

^ means exponent

256a^20 b^24

256a^9 b^10

16a^9 b^10

16a^20 b^24

Answer 1

`\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^m)^n=a^(n\cdot m)\\---------------------\\\\\left(4a^5b^6\right)^4=4^4(a^5)^4(b^6)^4=256a^(5\cdot4)b^(6\cdot4)=256a^(20)b^(24)`