Chapter 1: Q. 30 (page 21)

In the following exercises, simplify each expression.
$10 + 3 [6 - 2 (4 - 2)] - 2^{4}$

Short Answer

Expert verified

The simplified value of the expression is 0.

Step by step solution

Step 1. Given Information.

The given expression is $10 + 3 [6 - 2 (4 - 2)] - 2^{4}$ .

Step 2. Apply the order of the operation.

Simplify the expression inside the parentheses and then remove the bracket by applying the operation inside the bracket.
Simplify the exponent and then apply the operation left to right.

\begin{array}{rcl} 10 + 3 [6 - 2 (4 - 2)] - 2^{4} & = & 10 + 3 [6 - 2 (2)] - 2^{4} \\ = & 10 + 3 [6 - 4] - 2^{4} \\ = & 10 + 3 [2] - 2^{4} \\ = & 10 + 6 - 16 \\ = & 16 - 16 \\ = & 0 \end{array}

Step 3. Conclusion.

The obtained value is 0.

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In the following exercises, simplify each expression.
$10 + 3 [6 - 2 (4 - 2)] - 2^{4}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Apply the order of the operation.

Step 3. Conclusion.

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Short Answer

Step by step solution

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Step 3. Conclusion.

One App. One Place for Learning.

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