Question

Choose the correct simplification of (5a^6b^4c^3)^0(ac^2)^3.

Answer 1

\[ (5a^6b^4c^3)^0(ac^2)^3\]

use these
\[(n^x)^y=n^{xy}\qquad n^0=1\]

Answer 2

i'm confused because some people say everything to the 0 power is 0 but others say it's 1??

Answer 3

but is the answer 5a^9b^4c^9??

Answer 4

no thats not right,

Answer 5

i'm not sure how to get the right answer then

Answer 6

\[(5a^6b^4c^3)^0=1\]

Answer 7

ok so what i did was (5a^6b^4c^3)(a^3c^6)
and got the answer 5a^9b^4c^9

Answer 8

ohhh okay if it equals 1 then is the answer a^3c^6??

Answer 9

yeah thats right, \((5a^6b^4c^3)^0(ac^2)^3=a^3c^6 \checkmark\)

you would get your first answer if the question was
\[ (5a^6b^4c^3)^1(ac^2)^3=5a^9b^4c^9\]

Answer 10

ok thankyou!