## mikaa_toxica13 Group Title 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 one year ago one year ago

1. mikaa_toxica13 Group Title

medal and fan to best answer/explaination

2. satellite73 Group Title

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

3. mikaa_toxica13 Group Title

im thinkin its 2

4. satellite73 Group Title

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

5. gabrielle12 Group Title

9x^2y^11

6. gabrielle12 Group Title

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

7. satellite73 Group Title

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

8. satellite73 Group Title

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

9. satellite73 Group Title

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

10. satellite73 Group Title

you are right, it is 2

11. mikaa_toxica13 Group Title

thanks !!