Question

Choose the correct simplification of the expression (3xy^4)^2(y^2)^3.

6x^2y^14
9x^2y^14
9x^3y^11
6x^3y^11

Answer 1

\((3xy^4)^2(y^2)^3\)

When raising a power to a power, multiply the exponents

Answer 2

Okay writing this down sorry. I dont retain information that good

Answer 3

Ah okay

Answer 4

So it would have to be like this?

4*2*2*3

Answer 5

\(\large (3xy^4)^2=3^2~x^{1\times2}~y^{4\times 2}\\
(y^2)^3=y^{2\times 3}\)

Answer 6

Okay wrote it down

Answer 7

So would it end up being \[9x^2y^8\] and \[y^6\]

Answer 8

Yes
Now add the \(y^6\) and the \(y^8\)

Answer 9

y^14?

Answer 10

Yes

Answer 11

\[9x^2y^14\]

Answer 12

Yes

Answer 13

Thankssssss