13. $$ |-5 imes 2|-\left|(-3)^{2} ight|= $$ ?

Question

13. $$ |-5 	imes 2|-\left|(-3)^{2}ight|= $$ ?

UpStudy AI · Accepted Answer

Let's break down the expression step by step:

$$ |-5 \times 2| - \left| (-3)^2 \right| $$

1. **First Term: $$|-5 \times 2|$$**
   - Calculate the multiplication inside the absolute value:
     $$ -5 \times 2 = -10 $$
   - Take the absolute value:
     $$ |-10| = 10 $$

2. **Second Term: $$\left| (-3)^2 \right|$$**
   - Calculate the exponent first:
     $$ (-3)^2 = (-3) \times (-3) = 9 $$
   - Take the absolute value:
     $$ |9| = 9 $$

3. **Subtract the two results:**
   $$ 10 - 9 = 1 $$

**Final Answer:**  
$$ |-5 \times 2| - \left| (-3)^2 \right| = 1 $$
The result is 1.

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