If x=0.9, then the value of {1-[1-(1-x3)-1]-1}-1/3 is

Options:
A] 0.9 B] 0.3 C] 0.6 D] 0.0081

{1-[1-(1-x^3)-1]-1}-1/3

= {1-[-(1-x^3)]-1}-1/3
= {-[-(1-x^3)]}-1/3
= { 1 - .9^3} - 1/3
= -.062333...

none of your choices

see
https://www.google.ca/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=(1-(1-(1-(.9)%5E3)-1)-1)-1%2F3

THANK YOU

To find the value of the given expression, let's break it down step by step.

Step 1: Evaluate the value of x³ using the given value of x.
x³ = 0.9³ = 0.729

Step 2: Evaluate the expression 1 - x³.
1 - x³ = 1 - 0.729 = 0.271

Step 3: Evaluate the expression 1 - (1 - x³)⁻¹.
1 - (1 - x³)⁻¹ = 1 - 0.271⁻¹ ≈ 1 - 3.6884 ≈ -2.6884

Step 4: Evaluate the expression [1 - (1 - x³)⁻¹] - 1.
[1 - (1 - x³)⁻¹] - 1 = -2.6884 - 1 ≈ -3.6884

Step 5: Evaluate the expression [-2.6884] -1/3.
[-2.6884] -1/3 = -3.6884^(1/3) ≈ -1.3349

Since a negative number raised to a fractional exponent can have non-real solutions, we need to convert it to a positive number. Taking the absolute value of the result gives us 1.3349.

Therefore, the answer is not one of the provided options A, B, C, or D.