How do you do these questions, I have all my steps done until the last one:

2x(2x)^2: 2x(4x^2)?
Now do I multiply or add the big numbers?
also Im having trouble on these:
1. x^2(xy)^3: x2(x^3y^3)
2. 3x^2(2x)^3: 3x^2 (8x^3)
3. -2x^2y(3xy^2)^2
4. -(3x)^2: -(9x^2)?
5. 5x(2x^2)^2
6. -3x^2y(xy)^3
7. 2xy^2(3x^2y)^3
Everything is done but the last step, please help, thanks

Oh no, this is due tomorrow and I have a huge test on this concept tomorrow... But it's ok...

Do you know anyone else who can help?

To simplify these expressions, you need to follow the rules of exponents and perform the remaining calculations. I'll guide you through each of the questions:

1. x^2(xy)^3: x2(x^3y^3)
To simplify this expression, you need to multiply the coefficients and combine the variables with the same base, adding their exponents. In this case, you have x^2 times (xy)^3, which expands to x^2 times x^3 times y^3. Now you can multiply the coefficients, which gives you 2 times 1 equals 2, and combine the variables with the same base, resulting in x^(2+3)y^3. Therefore, the simplified expression is 2x^5y^3.

2. 3x^2(2x)^3: 3x^2 (8x^3)
Similar to the previous question, you need to expand (2x)^3 to 2^3 times x^3, which gives you 8x^3. Now, multiply the coefficients, which gives you 3 times 8 equals 24. Finally, combine the variables with the same base, resulting in 24x^(2+3), which simplifies to 24x^5.

3. -2x^2y(3xy^2)^2
To simplify this expression, start by expanding (3xy^2)^2 to 3^2 times x^2 times (y^2)^2, which simplifies to 9x^2y^4. Now, multiply the coefficients, which gives you -2 times 9 equals -18. Combine the variables with the same base, resulting in -18x^2y^5. Therefore, the simplified expression is -18x^2y^5.

4. -(3x)^2: -(9x^2)
This expression involves squaring. To simplify, square the number inside the parentheses, which gives you (3x)^2 becoming 9x^2. Since the expression is negative, the result remains negative. Therefore, -(3x)^2 simplifies to -(9x^2).

5. 5x(2x^2)^2
To simplify this expression, you need to start by squaring the expression inside the parentheses, which is (2x^2)^2. This simplifies to 2^2 times x^4, which is 4x^4. Now, multiply the coefficients, which gives you 5 times 4 equals 20. Therefore, the simplified expression is 20x^4.

6. -3x^2y(xy)^3
Start by expanding (xy)^3 to x^3y^3. Now, multiply the coefficients, which gives you -3 times 1 equals -3, and combine the variables with the same base, resulting in -3x^(2+3)y^3. Finally, simplify it to -3x^5y^3.

7. 2xy^2(3x^2y)^3
To simplify this expression, expand (3x^2y)^3 to 3^3 times (x^2)^3 times y^3. This simplifies to 27x^6y^3. Next, multiply the coefficients, which gives you 2 times 27 equals 54. Finally, combine the variables with the same base, resulting in 54x^6y^(2+3). Therefore, the simplified expression is 54x^6y^5.

Remember, for expressions with multiple terms, you may need to use the distributive property to simplify further.