Question

Choose the correct simplification of the expression (4a^4b)^2.

Answer 1

$(4a^{4b} )^{2}$

Apply exponent rule : $(a*b)^n = a^nb^n$

$4^2(a ^{4b})^2$

$(a ^{4b} )^2$

Apply exponent rule :

 $(a^b)^c= a ^{b*c}$

$= a ^{8b}$

$= 4^2 = 16$

$=\ \textgreater \ 16 a ^{8b}$

hope this helps!

Answer 2

Answer:

The simplified expression is $16a^{8b}$  

Step-by-step explanation:

we need to simplify the expression $(4a^{4b})^{2}$

$(4a^{4b} )^{2}$  

Using exponent rule : $(a\times b)^{n} = a^{n}b^{n}$

$4^{2}(a ^{4b})^{2}$

$16(a ^{4b} )^2$  

Apply exponent rule :

$(a^b)^c= a ^{b*c}$

$(a ^{4b} )^2= a ^{8b}$

$16a^{8b}$

Hence, simplified expression is  $16a^{8b}$