Question
find the sign of each of the following 1.) \( (-3)^{8} \)
Ask by Fernandez Herrera. in Qatar
Dec 10,2024
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Answer
The sign of \( (-3)^{8} \) is positive.
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The Deep Dive
The expression \( (-3)^{8} \) evaluates to a positive number because any negative base raised to an even exponent results in a positive outcome. So, \( (-3)^{8} = 6561 \) which is definitely greater than zero! Now, if we were to raise \( (-3) \) to an odd exponent, like 7, the result would be negative. This showcases the intriguing relationship between exponents and the signs of numbers. Just keep in mind: even powers cloak negativity in positivity!