Question

Choose the correct simplification of the expression (3xy4)2(y2)3.

6x2y14

9x2y14

9x3y11

6x3y11

Answer 1

....? lol

Answer 2

G2g so sry can't help right now :(

Answer 3

its ok

Answer 4

\[(3xy^4)^{2} \ (y^2)^{3}\]

Answer 5

(a^b)^c=a^bc

Answer 6

Expand \((3xy^4)^2 into (3*x*y^2*3*x*y^2)\)

Answer 7

And you'll get \(\large 3^2*x^2*(y^2)^2*(y^2)^3\)

Answer 8

use the index law for power of a power

\[(x^a)^b = x^{a \times b}\]

so you have

\[3^2 x^{1\times2}y^{4\times2} \times y^{2\times3}\]

simplify the powers and evaluate 3^2

last set will be same base when multiplying

\[x^a \times x^b = x^{a+b}\]

hope this helps

Answer 9

9x^2y^14 is the correct simplification

Answer 10

thank you ^^

Answer 11

medal?

Answer 12

teehee there you go :)