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Chapter 0: Problem 115

Use the order of operations to simplify each expression. $$8-3[-2(2-5)-4(8-6)]$$

Short Answer

Expert verified
The simplified form of the expression is 22.

Step by step solution

01

Solve inside the parentheses

First, resolve the expressions inside the parentheses: \(2-5\) and \(8-6.\) This gives -3 and 2 respectively.
02

Simplify the expression within the brackets

Replace the terms in parentheses in the original expression with the computed values from Step 1. This give us the expression: \(8 - 3[-2(-3) - 4(2)]\). We then calculate the expressions within the brackets, -6 and -8, to get the simplified expression: \(8 - (-6 - 8)\).
03

Perform the subtraction

Finally, we perform the subtraction operation to get the final answer. This gives us: \(8 - (-14)\), which simplifies to \(8 + 14 = 22\). In the end, the expression gets simplified to 22.

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Most popular questions from this chapter

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$4^{-2}<4^{-3}$$

$$\text { Factor completely.}$$ $$7 x^{4}+34 x^{2}-5$$

What does it mean to factor completely?

Find the union of the sets. $$\\{e, m, p, t, y\\} \cup \varnothing$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$8^{-\frac{1}{3}}=-2$$
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