Calculate the value of Z and its absolute standard deviation. All standard deviations shown are absolute. Show your work and report the standard deviation in the result with two significant digits (to confirm the correct result).

Z = (1.18+/-0.07)x((2.21+/-0.05)^3)

To calculate the value of Z, we will first calculate the value of (2.21 +/- 0.05)^3.

Step 1: Calculate the value of (2.21^3)
(2.21^3) = 10.481201

Step 2: Calculate the absolute standard deviation of (2.21^3)
The absolute standard deviation of (2.21^3) can be found by multiplying the absolute value of the standard deviation by the value of (2.21^3).
Absolute standard deviation = 0.05 * 10.481201 = 0.524060

Step 3: Calculate the value of (1.18 +/- 0.07) x 10.481201
First, calculate the lower bound of (1.18 +/- 0.07) by subtracting 0.07 from 1.18: 1.18 - 0.07 = 1.11
Next, calculate the upper bound of (1.18 +/- 0.07) by adding 0.07 to 1.18: 1.18 + 0.07 = 1.25

Now, calculate the lower and upper bounds of Z by multiplying the lower and upper bounds of (1.18 +/- 0.07) by the value of (2.21^3):
Lower bound of Z = 1.11 x 10.481201 = 11.614611
Upper bound of Z = 1.25 x 10.481201 = 13.101501

Step 4: Calculate the absolute standard deviation of Z by using the upper and lower bounds.
To find the absolute standard deviation of Z, we subtract the lower bound from the upper bound and divide it by 2.
Absolute standard deviation of Z = (13.101501 - 11.614611) / 2 = 0.743445

Therefore, the value of Z is in the range of 11.614611 to 13.101501, with an absolute standard deviation of 0.743445.