## anonymous 3 years ago 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

1. anonymous

medal and fan to best answer/explaination

2. anonymous

since $$3^2=9$$ you can forget 1 and 4

3. anonymous

im thinkin its 2

4. anonymous

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

5. anonymous

9x^2y^11

6. anonymous

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

7. anonymous

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

8. anonymous

you get $9x^2y^{14}$

9. anonymous

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

10. anonymous

you are right, it is 2

11. anonymous

thanks !!