Im also doing this problem wrong...

2^3V4(2^3V54-^3Vx) is equal to 16, then x is equal to... I simplified the 2^3V4 and got 64, and just got stuck.

To solve the equation 2^3√4(2^3√54 - 3√x) = 16, let's break it down step-by-step:

Step 1: Simplify 2^3√4
2^3√4 means taking the cube root (√3) of 4 and then raising it to the power of 2.
√3(4) = √3 (2^2) = 2^2√3 = 4√3

Now we have 4√3(2^3√54 - 3√x) = 16.

Step 2: Simplify 2^3√54
2^3√54 means taking the cube root (√3) of 54 and then raising it to the power of 2.
√3(54) = √3 (3^3*2) = 3^3√3(2) = 27√3(2) = 54√3

Now the equation becomes 4√3(54√3 - 3√x) = 16.

Step 3: Distribute
Distribute the 4√3 to both terms inside the parentheses:
4√3 * 54√3 - 4√3 * 3√x = 16

Step 4: Simplify the equation
(216√3^2) - (12√3√x) = 16
(216 * 3) - 12√3√x = 16
648 - 12√3√x = 16

Step 5: Solve for x
To solve for x, isolate the term involving x on one side of the equation:

-12√3√x = 16 - 648
-12√3√x = -632

Next, divide both sides by -12√3:
-12√3√x / -12√3 = -632 / -12√3
√x = 632 / (12√3)
√x = 53 / √3
Multiply both sides by √3 to isolate x:
√x * √3 = (53 / √3) * √3
√3x = 53

Finally, square both sides:
(√3x)^2 = 53^2
3x = 2809

Divide both sides by 3 to solve for x:
x = 2809 / 3

Therefore, x is equal to 936.33 (rounded to two decimal places).

To solve the given equation, we need to simplify each term and then apply the order of operations to evaluate the expression correctly. Let's break it down step by step:

1. Simplify the expression within the parentheses:
- We have 2^3V54 - ^3Vx inside the parentheses.
- Evaluate 2^3V54 first.
- 2^3 = 8 since 2 raised to the power of 3 equals 8.
- Then, ^3V54 is the cube root of 54 which is approximately 3.7798.
- So, 2^3V54 - ^3Vx simplifies to 8 - ^3Vx.

2. Substitute the simplified expression back into the original equation:
- We have 2^3V4 * (8 - ^3Vx) = 16.

3. Simplify further by evaluating the remaining terms:
- Evaluate 2^3V4 first.
- Again, 2^3 = 8.
- Then, ^3V4 is the cube root of 4 which is 1.5874.
- So, 2^3V4 simplifies to 8 * 1.5874 = 12.6994.
- Now, the equation becomes 12.6994 * (8 - ^3Vx) = 16.

4. Solve for x:
- Divide both sides of the equation by 12.6994 to isolate the expression within the parentheses.
- (8 - ^3Vx) = 16 / 12.6994 = 1.2583.

5. Subtract 8 from both sides to isolate ^3Vx:
- -^3Vx = 1.2583 - 8 = -6.7417.

6. Multiply both sides by -1 to solve for x:
- ^3Vx = -(-6.7417) = 6.7417.

7. Cube both sides of the equation to get rid of the cube root:
- (^(3)Vx)^3 = (6.7417)^3 = 304.13.

8. Solve for x:
- x = 304.13.

Therefore, x is equal to 304.13.