Evaluate each expression. See Example 4.

(-3)⁵

Question

Evaluate each expression. See Example 4.

(-3)⁵

Accepted Answer

Hello, everyone. We are asked to evaluate the expression negative six in parentheses, raised to the fourth power. Our answer choices are a 1316 B 1296 C negative 1316 D negative 1296. So again, looking at negative six in parentheses, raised to the fourth power. The negative six is in parentheses to show that the negative sign is grouped with the six. And then thinking about race to the fourth power means we have negative six multiplied by negative six, multiplied by negative six, multiplied by negative six. Recall that a negative multiplied by a negative is a positive. So if I want to group these together and do negative six multiplied by negative six, I would have a positive 36 and I can do that twice. So I then have positive 36 multiplied by positive 36. So our answer will be a positive and it is positive 1296. If you were to put this in a calculator, make sure you do use the parentheses when you put negative six in prior to raising it to the fourth power or it won't read the negative sign. The other way you could solve this is if you recall, every time we have a negative number raised to an even power, it will be a positive answer. So we still would get positive 1296. Just depends on which way made the most sense for you to find that. And it's answer choice. B have a nice day.

Evaluate each expression. See Example 4. (-3)⁵

Key Concepts

Exponents

Negative Numbers

Order of Operations

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