Evaluate each expression. See Example 5.-4(9 - 8) + (-7) (2)³

Question

Accepted Answer

Hello, everyone. We are asked to evaluate negative eight multiplied by the parentheses. 49 minus 48 closed parentheses plus in parentheses, negative five, multiplied by four, raised to the third power. Our answer choices are a negative B negative 328 C 262 D 376. Looking at the expression we're given, I think we are going to need to use order of operations. And I remember that by the acronym pandas. So I'm gonna keep track of that off to the side as I work through this problem. So again, we have negative eight multiplied by in parentheses 49 minus 48 closed parentheses plus negative five in parentheses multiplied by four in parentheses. Cubed. So does the P stands for parentheses. So that's the first thing we wanna work with. We want to work with any parentheses that are in this problem. So we have the parentheses 49 minus 48. So we're gonna simplify those. So we'll have negative eight multiplied by minus 48 is one. And though the negative five and the four are in parentheses, there's no operation with them. So we're gonna leave them B for the time being. So right now I have negative eight multiplied by one plus negative five in parentheses, multiplied by four in parentheses cubed. So the P is done, E stands for exponents. So we will take care of any exponents we have in our expression. Here, we have four cubed. So four rays to the third power, I'm rewriting the rest of the problem. So negative eight multiplied by one plus in parentheses, negative five, it's gonna be multiplied by four cubed. So four cubed is 64 and I left that in parentheses just to show multiplication. So exponents check next, the M and the D get grouped together because this is multiply or divide, whichever comes first from left to right. So from left to right, my first multiplication is negative eight, multiplied by one, which is negative eight. And we're gonna add that to negative five, multiplied by 64 which is negative 320. There's no more multiplication or division. So I'm checking that off next A and S stand for add or subtract, whichever comes first from left to right. And here we have negative eight plus negative 320. And when we're adding two negatives, it's still a negative. So this is negative 328 and there's no more operations to do. So that is our answer negative 328 which is answer choice B have a nice day.

Evaluate each expression. See Example 5.-4(9 - 8) + (-7) (2)³

Key Concepts

Order of Operations

Exponents

Distributive Property

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