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Chapter 0: Problem 111

Use the order of operations to simplify each expression. $$8^{2}-16 \div 2^{2} \cdot 4-3$$

Short Answer

Expert verified
The simplified version of the expression is 45

Step by step solution

01

Evaluate Exponents

Start by evaluating the exponent: \(8^{2} = 64\). So, the expression becomes \(64 -16 \div 2^{2} \cdot 4-3\)
02

Evaluate the division

Now, let us evaluate the division operation: \(16 \div 2^{2} = 16 \div 4 =4\). The expression now reads: \(64 - 4 \cdot 4 - 3\)
03

Evaluate the multiplication

Then, perform the multiplication operation: \(4 \cdot 4 = 16\). Now the expression simplifies to \(64 - 16 - 3\)
04

Evaluate subtraction

Finally, perform the subtraction operations from left to right: \(64 - 16 = 48\) and then \(48 - 3 = 45\).

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Most popular questions from this chapter

This will help you prepare for the material covered in the next section. a. Use a calculator to approximate \(\sqrt{300}\) to two decimal places. b. Use a calculator to approximate \(10 \sqrt{3}\) to two decimal places. c. Based on your answers to parts (a) and (b), what can you conclude?

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

What does it mean to factor completely?

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

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