Question

choose the correct simplification of (3x^3y^4z^4) (2x^3y^4z^2)

Answer 1

\[(3x^3y^4z^4)(2x^3y^4z^2)\]
Since it's all multiplication, you can just get rid of the parentheses and group the like terms.
\[(3)(2)x^3x^3y^4y^4z^4z^2\]
which simplifies to
\[6x^6y^8z^6\]

Answer 2

thanks :) can you help with another?

Answer 3

Sure

Answer 4

choose the correct simplification of (5xy^7)^2(y^2)^3

Answer 5

would it be 25x^2y^20

Answer 6

\[(5xy^7)^2(y^2)^3\]
Now we distribute the exponents around the parentheses.
\[(5^2x^2y^{7(2)})(y^{2(3)})\]
This simplifies down to (25 x^2 y^14)(y^6). Get rid of the parentheses, since it's all multiplication.

25 x^2 y^14 y^6

y^14*y^6 simplifies to y^(14+6) or y^20.

Your answer is 25x^2y^20.

Answer 7

choose the correct simplification of a^5b^6/ a^4b^4

Answer 8

@tomhue