Question

simplify using the laws of exponents
(a^4b)^5

Answer 1

\(\huge (xy)^n =x^n.y^n\)
so take x=a^4 and y=b, n=5
and tell me what u get ?

Answer 2

(4^b)^54=a^4*b^4

Answer 3

that is not supposed to be 54

Answer 4

no...
\(\huge (a^4b)^5=(a^4)^5b^5\)
got that ^ ?

Answer 5

yes

Answer 6

now , \(\huge (x^m)^n=x^{mn}\)
so whats
\((a^4)^5=....?\)

Answer 7

16^5

Answer 8

what ?
where does 16 come from ??

Answer 9

20^5 sorry

Answer 10

where did 'a' go ?

Answer 11

20a^5

Answer 12

nopes, the exponents get multiplied.
\((a^4)^5=a^{5*4}=a^{20}\)
got that ^ ?

Answer 13

yes got that

Answer 14

so whats the final answer ?

Answer 15

a^20

Answer 16

sorry im getting confused would it be a fraction form is so it would be 1/20

Answer 17

no..its just a^20

Answer 18

ok ty

Answer 19

\(\huge (a^4b)^5=(a^4)^5b^5=a^{20}b^5\)
is your final answer.