Evaluate each expression. See Example 5.

5 - 7 • 3 - (-2)³

Question

Evaluate each expression. See Example 5.

5 - 7 • 3 - (-2)³

Accepted Answer

Hello, everyone. We are asked to evaluate the expression 11 minus four multiplied by nine minus the parentheses. Negative three raised to the fourth power. Our answer choices are a negative B negative 132 C 204 D negative 174. So looking at our expression, the first thing that comes to mind for me is that we need to use the acronym PDAs or the order of operations. Sometimes people have heard it with a different acronym. This is just the one I'm familiar with. So rewriting our original expression, we have 11 minus four multiplied by nine minus in parentheses, negative three raised to the fourth power. So using our acronym P stands for parentheses, we have a set of parentheses, but there's no operation within those parentheses. So we're gonna check that one. We're done there. E stands for exponents. We do have an exponent. We have a negative three raised to the fourth power. So I'm gonna rewrite the rest of the problem and do negative three raise to the fourth power. The negative three is in parentheses. So the negative is grouped with the three So negative three race to the fourth power is 81. So we now have 11 minus four multiplied by nine minus 81. The next two letters M and D go together and this stands for multiply or divide, whichever comes first from left to right. So in our problem, do we have any multiplication or division? We do we have a negative four multiplied by nine. So we're gonna multiply that. So we'll have 11, negative four, multiplied by nine is negative 36 minus 81. So we now have 11 minus 36 minus 81. And the last two letters in Peda go together also and this is add or subtract and it's whichever comes first from left to right. So from left to right, we're gonna subtract this. So 11 minus 36 be negative 25 now minus 81. So negative 25 minus 81 is negative 106. We followed all of our steps and pdas, we got down to one number and that number is negative 106 which is answer choice. A have a nice day.

Evaluate each expression. See Example 5. 5 - 7 • 3 - (-2)³

Key Concepts

Order of Operations

Exponents

Negative Numbers

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