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

The simplified expression is
`16a^(8b)`

Explanation:

we need to simplify the expression
`(4a^(4b))^(2)`

`(4a^(4b) )^(2)`

Using exponent rule :
`(a* 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)`