What is the simplified form of the following expression?
12[62 ÷ (52 – 42) + 7]
The simplified form of the expression is $12[62 ÷ (52 – 42) + 7]=12[62 ÷ 10 + 7]$. Next, we divide $62$ by $10$ to get $6.2$. Therefore, we have $12[6.2+7]$. Combining like terms gives $12[13.2]$. Finally, multiplying $12$ and $13.2$ together gives $\boxed{158.4}$.
What is the answer
The answer is $158.4$.
12[6^2 ÷ (5^2 – 4^2) + 7]
To simplify the expression, we begin inside the parentheses.
$5^2 = 25$ and $4^2 = 16$.
Therefore, we have $12[6^2 ÷ (25 - 16) + 7]$.
Next, we simplify $6^2$, which is $36$.
So the expression becomes $12[36 ÷ (25 - 16) + 7]$.
Next, we simplify $(25 - 16)$, which is $9$.
Therefore, the expression becomes $12[36 ÷ 9 + 7]$.
Next, we solve the division: $36 ÷ 9 = 4$.
So the expression becomes $12[4 + 7]$.
Next, we add $4$ and $7$, which gives us $11$.
Therefore, the expression becomes $12[11]$.
Finally, we multiply $12$ and $11$ to get the simplified form of the expression: $\boxed{132}$.