Evaluate the expression (14⋅(5+3)(6−2))2 . Show all your work.

Answer 1

First, we need to simplify the expression inside the parentheses:

(5+3) = 8

(6-2) = 4

Now, we can substitute these values back into the original expression:

(14 * 8 * 4)^2

Next, we can perform the multiplication inside the parentheses:

14 * 8 = 112

Now, we can substitute this value back into the expression:

(112 * 4)^2

Next, we can perform the multiplication inside the parentheses again:

112 * 4 = 448

Now, we can substitute this value back into the expression:

(448)^2

Finally, we can square the value:

448^2 = 200704

So the final result is 200704.

Answer 2

Evaluate the expression (1^4⋅(5+3)(6−2))^2 . Show all your work.

Answer 3

First, we need to simplify the expression inside the parentheses:

(5+3) = 8

(6-2) = 4

Now, we can substitute these values back into the original expression:

(1^4 * 8 * 4)^2

Next, we can simplify the exponent:

1^4 = 1

Now, we can substitute this value back into the expression:

(1 * 8 * 4)^2

Next, we can perform the multiplication inside the parentheses:

1 * 8 = 8

Now, we can substitute this value back into the expression:

(8 * 4)^2

Next, we can perform the multiplication inside the parentheses again:

8 * 4 = 32

Now, we can substitute this value back into the expression:

(32)^2

Finally, we can square the value:

32^2 = 1024

So the final result is 1024.