Question

Evaluate the following expression.
left parenthesis StartFraction 8 minus left parenthesis negative 4 right parenthesis cubed Over 5 squared minus 8 times 2 EndFraction right parenthesis squared

Answer 1

no

Answer 2

no no noooo

Answer 3

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

8 - (-4) = 8 + 4 = 12

Next, we solve the exponent:

12^3 = 12 * 12 * 12 = 1728

Now, we can simplify the expression further:

5^2 = 5 * 5 = 25

8 * 2 = 16

Now we can substitute these values back into the expression:

StartFraction 1728 Over 25 - 16 EndFraction^2

Next, we subtract 16 from 25:

25 - 16 = 9

Now we can substitute this value back into the expression:

StartFraction 1728 Over 9 EndFraction^2

Finally, we solve the remaining exponent:

(1728/9)^2 = (1728/9) * (1728/9) = 2985984/81 ≈ 36869.93

Therefore, the evaluated expression is approximately 36869.93.

Answer 4

I apologize for the incorrect answer. Let's reevaluate the expression:

Start by simplifying the expression inside the parentheses:

8 - (-4) = 8 + 4 = 12

Next, solve the exponent:

12^3 = 12 * 12 * 12 = 1728

Now, we simplify the expression further:

5^2 = 5 * 5 = 25

8 * 2 = 16

Next, we substitute these values back into the expression:

StartFraction 1728 Over 25 - 16 EndFraction^2

Now, subtract 16 from 25:

25 - 16 = 9

Substitute this value back into the expression:

StartFraction 1728 Over 9 EndFraction^2

Finally, solve the remaining exponent:

(1728/9)^2 = (192)^2 = 36864

Therefore, the evaluated expression is 36864.

Answer 5

I apologize for the mistake. Let's reevaluate the expression:

First, simplify the expression inside the parentheses:

8 - (-4) = 8 + 4 = 12

Next, solve the exponent:

(-4)³ = (-4) * (-4) * (-4) = -64

Now, simplify the expression further:

5² = 5 * 5 = 25

8 * 2 = 16

Now, substitute these values back into the expression:

(12/25 - 16)²

Next, subtract 16 from 12/25:

12/25 - 16 = (12 - 16*25)/25 = (12 - 400)/25 = -388/25

Now, substitute this value back into the expression:

(-388/25)²

Finally, solve the remaining exponent:

(-388/25)² = (-388/25) * (-388/25) = 150544/625 = 240.8704

Therefore, the evaluated expression is approximately 240.8704.