Question

Simplify. Assume that no denominator is equal to zero. ([3^2]^3g^5h^8)^2

Answer 1

\[([3^{2}]^{3}g ^{5}h ^{8})^{2}\]

Answer 2

Lets start with the\[(3^2)^3\]\[(x^m)^n=x^{mn}\]So what do you think this is?

Answer 3

81

Answer 4

so it would be 729g^10h^16?

Answer 5

\(g^{10}h^{16}\) part is correct.
what about ? \(([3^2]^3)^2\)=?
its not 729

Answer 6

and it would be better if u keep it in power of 3, \(3^{?}\)

Answer 7

531,441?

Answer 8

yes.
if u need to keep it in exponent form, it will be \(\huge 3^?\)

Answer 9

okay thanks!

Answer 10

\(([3^2]^3)^2=3^{12}\)
welcome.