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

medal and fan to best answer/explaination

Answer 2

since \(3^2=9\) you can forget 1 and 4

Answer 3

im thinkin its 2

Answer 4

\[ (3xy^4)^2(y^2)^3\] square everything first, i.e. multiply all the exponents by 2

Answer 5

9x^2y^11

Answer 6

you distribute the exponents outside of the parentheses to all the terms inside the parentheses

Answer 7

then
\[3^2x^4y^8\times y^6\] now add up the exponents

Answer 8

you get
\[9x^2y^{14}\]

Answer 9

oops i made a mistake above, there is no \(x^4\) term it is \(x^2\)

Answer 10

you are right, it is 2

Answer 11

thanks !!