Before joining the Los Angeles Times in 2022, he covered public safety for the Star Tribune in Minneapolis. Since a whole number exponent larger than 1 tells us the number of times to multiply the base by itself, it also tells us whether or not we will have a positive or negative result. 12 hours ago &0183 &32 Younger Angelenos have far more negative view of police than elders, poll finds. When we get an odd number (1,3,5,7,9.) of negative factors the opposite is true and we will get a negative product. Therefore an even (2,4,6,8,10.) number of negative factors produces a positive product. Recall that when multiplying with negative numbers, each pair of negatives yields a positive product. The reason here is that our exponent (3) is odd. If we work through the example above, we see that we get the same answer whether or not we use parentheses around the base. Since the negative is wrapped inside of the parentheses, both are now part of the base. Now let’s think about the other scenario. In this case, we would raise 2 to the 2nd power first, and then multiply the result by -1. From the order of operations, we know that we must perform exponent operations before we multiply. We can really think about: -2 2 as -1 x 2 2. It won’t give us a different answer in every scenario, but it’s important to know what’s causing a different answer. We can see from the above example that parentheses around a negative base do make a difference. If we are working with a negative number raised to a power, the base does not include the negative part unless we use parentheses: When we work with exponents, we need to be extra cautious when dealing with negative numbers.
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