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