Chapter 1: Q 118. (page 38)

In the following exercises, simplify each expression.
${(- 4)}^{2} - 32 \div (12 - 4)$

Short Answer

Expert verified

Step by step solution

Step 1. Given Information

The given expression is ${(- 4)}^{2} - 32 \div (12 - 4)$ .

Step 2. Simplify the exponent value first.

Write the number ${(- 4)}^{2}$ in the expanded form.

${(- 4)}^{2} - 32 \div (12 - 4) = (- 4) (- 4) - 32 \div (12 - 4)$

Multiply $- 4$ and $- 4$ .

$(- 4) (- 4) - 32 \div (12 - 4) = 16 - 32 \div (12 - 4)$

Step 3. Apply the order of operation.

Remove the parenthesis first.

$16 - 32 \div (12 - 4) = 16 - 32 \div (8)$

Simplify the division.

$16 - 32 \div (8) = 16 - 4$

Perform the indicated operation.

$16 - 4 = 12$

Step 4. Conclusion

The resultant value is 12.

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In the following exercises, simplify each expression.
${(- 4)}^{2} - 32 \div (12 - 4)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Simplify the exponent value first.

Step 3. Apply the order of operation.

Step 4. Conclusion

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In the following exercises, simplify each expression.-42-32÷12-4

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Simplify the exponent value first.

Step 3. Apply the order of operation.

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, simplify each expression.
${(- 4)}^{2} - 32 \div (12 - 4)$