Please help!! This is so confusing! 100 points!!

The value of the expression given is:

4

Step-by-step explanation:

First, you must divide the expression in three, and to the final, you can multiply it:

[(3^8)*(2^(-5))*(9^0)]^(-2) [(2^(-2))/(3^3)]^4 3^28

Now, we can solve each part one by one:

First part.

3^8 = 6561 2^(-5) = 0.03125 9^0 = 1 (Whatever number elevated to 0, its value is 1) (6561 * 0,03125 * 1) = 205.03125

And we elevate this to -2:

205.03125^-2 = 2.378810688*10^(-5) or 0.00002378810688

Second part.

2^(-2) = 0.25 3^3 = 27 0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925

And we elevate this to 4:

0.00925925925925^4 = 7.350298528 * 10^(-9) or 0.000000007350298528

Third Part.

3^28 = 2.287679245 * 10^13 or 22876792450000

At last, we multiply all the results obtained:

0.00002378810688 * 0.000000007350298528 * 22876792450000 = 3.999999999999999999 approximately 4

We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result.

Step-by-step explanation:

Distributing the power of -2 to the parenthesis,

Distributing the power of 4 to the fraction,

Multiplying,

Simplifying,

Step-by-step explanation: