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[tex](4a^{4b} )^{2} [/tex]

Apply exponent rule : [tex](a*b)^n = a^nb^n[/tex]

[tex]4^2(a ^{4b})^2 [/tex]

[tex](a ^{4b} )^2 [/tex]

Apply exponent rule :

 [tex](a^b)^c= a ^{b*c} [/tex]

[tex]= a ^{8b} [/tex]

[tex]= 4^2 = 16[/tex]

[tex]=\ \textgreater \ 16 a ^{8b} [/tex]

hope this helps!

Answer:

The simplified expression is [tex]16a^{8b}[/tex]  

Step-by-step explanation:

we need to simplify the expression [tex](4a^{4b})^{2}[/tex]

[tex](4a^{4b} )^{2}[/tex]  

Using exponent rule : [tex](a\times b)^{n} = a^{n}b^{n}[/tex]

[tex]4^{2}(a ^{4b})^{2}[/tex]

[tex]16(a ^{4b} )^2[/tex]  

Apply exponent rule :

[tex](a^b)^c= a ^{b*c}[/tex]

[tex](a ^{4b} )^2= a ^{8b} [/tex]

[tex]16a^{8b}[/tex]

Hence, simplified expression is  [tex]16a^{8b}[/tex]

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