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

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