Answer:
[tex]64a^{3} b^{6}[/tex]
Step-by-step explanation:
1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:
[tex](4ab^{2} )^3[/tex]
[tex]4^{3}[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]
2) The variables are fine - you can't simplify them further. All you need to do now is multiply the [tex]4^{3}[/tex] out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"
[tex]4[/tex] · [tex]4[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]
[tex]16[/tex] · [tex]4[/tex] · [tex]a^{3}[/tex] · [tex]b^{6}[/tex]
[tex]64a^{3} b^{6}[/tex]
Therefore, [tex]64a^{3} b^{6}[/tex] is the answer.
