The simplified form is ![\Rightarrow 8a^3b^{15}](/tpl/images/0176/5056/fab21.png)
C is correct.
Step-by-step explanation:
Given: ![(2ab^5)^3](/tpl/images/0176/5056/44ab6.png)
We need to simplify the expression using exponent law.
Exponent law:
![(a^m)^m = a^{mn}](/tpl/images/0176/5056/85c24.png)
If power of power then we multiply both power.
![\Rightarrow (2ab^5)^3](/tpl/images/0176/5056/e01b7.png)
Distribute exponent 3
![\Rightarrow 2^3a^3(b^5)^3](/tpl/images/0176/5056/3b9f1.png)
Simplify each one if possible
![\Rightarrow 8a^3b^{15}](/tpl/images/0176/5056/fab21.png)
The power of 2 is 9
Hence, The simplified form is ![\Rightarrow 8a^3b^{15}](/tpl/images/0176/5056/fab21.png)