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Would -7 to the fourth power result in a negative or positive product? explain your answer

User Malick
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Sure, I can explain that. The mathematical operation in question is raising -7 to the power of 4.

When any number, regardless of whether it is positive or negative, is raised to an even exponent, the resulting product is always positive. Since 4 is an even number, raising -7 to the 4th power will result in a positive product.

The reason for this is due to how exponents work. For example, if we take -2 squared (-2^2), the calculation would look like this: -2*-2 equals 4 which is a positive number.

So, when we raise -7 to the 4th power, we are essentially multiplying -7 by itself 4 times. This multiplication will turn the negative number into a positive one twice over: first when it's squared (-7*-7 equals 49), and then again when that positive result is squared (49*49).

Thus, the result of -7 to the power of 4 is positive.

User Meet Shah
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