Question

What is the simplified form of the expression? (m^3/4c^5)^4

Answer 1

m^12/256c^20

Answer 2

sai that wasn't one of my answers ;/

Answer 3

THis involves using two the law of exponents.
\[(a^{b})^{c} = a^{bc}\]\[(ab)^{c} = a^{c}b^c\]
\[(\frac{m^{3}}{4c^{5}})^{4} = \frac{m^{3 \times 4}}{4^{4}{c^{5 \times 4}}} = \frac{m^{12}}{256c^{20}}\]I got the same thing.

Answer 4

would it still be right if it was written backwards?
the closest i got was 256c^20/m^12

Answer 5

no that is wrong, it means you've reciprocated the answer which you shouldn't have:
this is the solution:
(m^3/4c^5)^4
raise each element to the power 4
hence:
m^3*4 ; 4^4 ; and C ^5*4
m^12 ;256 and c^20
the answer will then be:
m^12/ 256 c^20

Answer 6

no i ended up getting it right