To solve the expression [tex]\(\sqrt[3]{27} - 8 \times (6 + 9)\)[/tex], let's break it down step-by-step:
1. Calculate the cube root of 27:
The cube root of 27 is 3 because [tex]\(3^3 = 27\)[/tex].
So, [tex]\(\sqrt[3]{27} = 3.0\)[/tex].
2. Calculate the expression inside the parentheses:
Inside the parentheses, we have [tex]\(6 + 9\)[/tex].
So, [tex]\(6 + 9 = 15\)[/tex].
3. Multiply the result of the parentheses by 8:
Now we need to multiply 8 by the result from step 2 (which is 15).
So, [tex]\(8 \times 15 = 120\)[/tex].
4. Subtract the result of the multiplication from the cube root:
Finally, we subtract the result of the multiplication (120) from the cube root (3.0).
So, [tex]\(3.0 - 120 = -117.0\)[/tex].
Therefore, the detailed solution to [tex]\(\sqrt[3]{27} - 8 \times (6 + 9)\)[/tex] is:
- The cube root of 27 is 3.0.
- Inside the parentheses, [tex]\(6 + 9 = 15\)[/tex].
- Multiplying 8 by 15 gives 120.
- Subtracting 120 from 3.0 gives -117.0.
Thus, the final result is [tex]\(-117.0\)[/tex].
