Identify an expression that is not equal to 1.12(−1)99(−1)100
Question
Identify an expression that is not equal to 1.12(−1)99(−1)100
Solution
The expression given is 1.12(-1)^99(-1)^100.
Step 1: Simplify the exponents of -1.
- (-1)^99 will always be -1 because any odd power of -1 is -1.
- (-1)^100 will always be 1 because any even power of -1 is 1.
Step 2: Substitute the simplified exponents back into the expression.
- This gives us 1.12 * -1 * 1, which simplifies to -1.12.
So, an expression that is not equal to 1.12(-1)^99(-1)^100 is any expression that does not evaluate to -1.12. For example, the expression 1+1 is not equal to 1.12(-1)^99(-1)^100, because 1+1 equals 2, not -1.12.
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