simplify the following problems. show all work

1) -1[-2(-3)^3]^2

2) -3{3-2{10-3(-2)^2}^2]^2

3) -3[4-7(-3-5)]-(-5)^2

Sure! Let's simplify each problem step by step:

1) Simplifying -1[-2(-3)^3]^2:
First, we need to simplify the exponent inside the parentheses:
(-3)^3 = -3 * -3 * -3 = -27
Next, we simplify the expression inside the inner set of parentheses:
-2 * (-27) = 54
Now, we can rewrite the original expression:
-1[54]^2
To simplify further, we square 54:
-1 * 54^2 = -1 * 2916
Finally, multiplying -1 by 2916, we get:
-2916

2) Simplifying -3{3-2{10-3(-2)^2}^2}^2:
First, let's simplify the exponent inside the brackets:
(-2)^2 = -2 * -2 = 4
Next, we simplify the expression inside the second set of brackets:
10 - 3 * 4 = 10 - 12 = -2
Now, we replace the inner brackets with the simplified value:
-3{3-2(-2)^2}^2
Inside the inner set of brackets:
-2^2 = -2 * -2 = 4
So now we have:
-3{3-2(4)}^2
Simplifying the expression inside the second set of brackets:
-2 * 4 = -8
Now we can replace it:
-3{3-(-8)}^2
Simplifying the brackets:
-3{3+8}^2 = -3 * 11^2 = -3 * 121 = -363
Finally, we replace it back into the expression:
-3{-363}^2
Simplifying the exponent:
-363^2 = (-363) * (-363) = 131,769
Finally, we replace it back into the expression:
-3 * 131,769 = -395,307

3) Simplifying -3[4-7(-3-5)]-(-5)^2:
First, we simplify inside the inner set of brackets:
-3[-3 - 5] = -3[-8] = -3 * -8 = 24
Now, we replace it back into the expression:
-3[4 + 24] - (-5)^2
Simplifying inside the brackets:
-3[28] - (-5)^2
-3 * 28 = -84
Now, we replace it back into the expression:
-84 - (-5)^2
Simplifying the exponent:
(-5)^2 = (-5) * (-5) = 25
Now, we replace it back into the expression:
-84 - 25 = -109

Therefore, the simplified versions of the provided problems are as follows:

1) -1[-2(-3)^3]^2 = -2916

2) -3{3-2{10-3(-2)^2}^2}^2 = -395,307

3) -3[4-7(-3-5)]-(-5)^2 = -109