# 1. Should be 8a^{15} but I think that is just a typo because the * and 8 are on the same key of the keyboard.

2-4 look ok to me.

5. What you have looks ok to me; however, can't these two terms be multiplied to give 200x^{8}y^{9} ?

Yeah sorry about #1 that's what I had...lol

FOr number 5 I wasn't sure if I was supposed to multiply them or just leave them like that...Thanks for the help...lol

DO you think you can help me with the FOIL Problems...I don't get those at all!!

I don't know what I'm supposed to do. Are you supposed to simply multiply the two together? By the way, is FOIL an acronymn. If not it shows just how behind the times I am.

Well FOIL is a method but it's difficult to explain in words so if you go to google you can see...PLease i need help...:)thanks anyways...

OK. I read about it and I know how to do it. I just never heard it called that before.

Oh ok lol so can you help me then?

PLease CHeck my work...

1.(2a^5)^3=*a^15

2.(-3xy^3)^4=81x^4y^12

3.(5a^3b^4)^2=25a^6b^8

4.(-mn^8)^3=-m^3n^24

5.(-2x^2y)^3*(5xy^3)^2=-8x^6y^3 * 25x^2y^6

## Sure, let's go through each of the problems and check your work.

1. To simplify (2a^5)^3, we need to raise both 2 and a^5 to the exponent 3. Applying the power rule for exponents, we get:

(2^3) * (a^5 * 3) = 8a^15

Your answer of a^15 is missing the 8, so it should be 8a^15.

2. To simplify (-3xy^3)^4, we need to raise both -3 and xy^3 to the exponent 4. Applying the power rule for exponents, we get:

(-3)^4 * (x^4 * y^3 * 4) = 81x^4y^12

Your answer of 81x^4y^12 is correct.

3. To simplify (5a^3b^4)^2, we need to raise both 5, a^3, and b^4 to the exponent 2. Applying the power rule for exponents, we get:

(5^2) * (a^3 * 2) * (b^4 * 2) = 25a^6b^8

Your answer of 25a^6b^8 is correct.

4. To simplify (-mn^8)^3, we need to raise both -m and n^8 to the exponent 3. Applying the power rule for exponents, we get:

(-m)^3 * (n^8 * 3) = -m^3n^24

Your answer of -m^3n^24 is correct.

5. To simplify (-2x^2y)^3 * (5xy^3)^2, we need to raise both -2x^2y and 5xy^3 to their respective exponents and then multiply the results. Applying the power rule for exponents, we get:

(-2)^3 * (x^2 * 3) * (y * 3) * (5^2) * (x * 2) * (y^3 * 2) = -8x^6y^3 * 25x^2y^6

Your answer of -8x^6y^3 * 25x^2y^6 is correct.

Great job on the simplifications! Keep practicing and you'll get better at it. Let me know if you have any more questions!