Question
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Answer
The value of the expression \(6(2(4+7)-6)\) is \(96\).
Solution
1. Begin by simplifying inside the innermost parentheses:
\[
4 + 7 = 11
\]
2. Substitute back into the expression:
\[
6\left(2(11) - 6\right)
\]
3. Multiply \(2\) by \(11\):
\[
2(11) = 22
\]
4. Subtract \(6\) from \(22\):
\[
22 - 6 = 16
\]
5. Finally, multiply \(6\) by \(16\):
\[
6 \times 16 = 96
\]
Thus, the value of the expression is \(96\).
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Simplify this solution Extra Insights
Let's break that down! The expression inside the parentheses is evaluated first. Start with \( 4 + 7 \) which equals \( 11 \). Now we have \( 6(2(11)-6) \). Next, multiply \( 2 \) by \( 11 \) to get \( 22 \). Now substitute back into the expression: \( 6(22 - 6) = 6(16) \). Finally, multiply \( 6 \) by \( 16 \) to arrive at \( 96 \). So the final result is \( 96 \)! 🎉
