3 [42-2 (10^-9^)]
TJ, I have been out of school for quite a while...please let me know what this symbol is used to represent: ^
It is used for exponents, but some rather strange people use it to mean ^2 or squared. Going on that assumption, we have
3[42-2 (10^2-9^2)]
3[42-2(100-81)]
3[42-2*19]
...
If I got that wrong, TJ, fix it and carry on.
'Rather strange people' lol
To evaluate the expression 3 [42 - 2 (10^-9)], we need to follow the order of operations, which is commonly referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's break down the expression step by step:
1. First, we need to evaluate the expression inside the parentheses: 10^-9.
- The negative exponent means we need to take the reciprocal of the base, which is 10.
- Reciprocal of 10^-9 is 1 / 10^-9, which simplifies to 10^9.
Therefore, the expression inside the parentheses becomes 10^9.
2. Next, we perform the multiplication within the parentheses: 2 * 10^9.
- To multiply numbers with exponents, we keep the base the same and add the exponents.
- 2 * 10^9 is equal to 2 * (10^9) = 2 * 10^9.
3. Now, we can substitute the result of the operation within the parentheses back into the original expression:
3 [42 - (2 * 10^9)]
4. Moving on to the subtraction within the brackets: 42 - (2 * 10^9).
- We can now multiply 2 by 10^9 (notice that there is no more exponent involvement).
- 2 * 10^9 = 2,000,000,000.
Therefore, the subtraction becomes: 42 - 2,000,000,000.
5. Finally, we perform the subtraction: 42 - 2,000,000,000.
- Subtracting a large number from a smaller number gives us a negative result.
Therefore, the final answer is -1999999958.
So, 3 [42 - 2 (10^-9)] is equal to -1999999958.