Question
2(-2)^4+3(-2)^3+2 times(2)+3(-2)+
Solution
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JuneElite · Tutor for 8 years
Answer
Let's simplify the given expression step by step:<br /><br />The expression is: <br />\[<br />2(-2)^4 + 3(-2)^3 + 2 \times (2) + 3(-2)<br />\]<br /><br />### Step 1: Simplify each term<br />1. \( (-2)^4 = 16 \), so \( 2(-2)^4 = 2 \times 16 = 32 \).<br />2. \( (-2)^3 = -8 \), so \( 3(-2)^3 = 3 \times (-8) = -24 \).<br />3. \( 2 \times (2) = 4 \).<br />4. \( 3(-2) = -6 \).<br /><br />### Step 2: Combine all terms<br />Now substitute the simplified values into the expression:<br />\[<br />32 - 24 + 4 - 6<br />\]<br /><br />Simplify step by step:<br />\[<br />32 - 24 = 8, \quad 8 + 4 = 12, \quad 12 - 6 = 6<br />\]<br /><br />### Final Answer:<br />\[<br />\boxed{6}<br />\]
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