Question

Fully simplify the following:
8
[
(
10
−
3
)
2
÷
5
]
8[(10−3)
2
÷5]

Answer 1

To simplify the expression \( 8[(10 - 3)^2 \div 5] \), follow these steps:

1. **Calculate the expression inside the parentheses**:
\[
10 - 3 = 7
\]

2. **Square the result**:
\[
7^2 = 49
\]

3. **Divide by 5**:
\[
49 \div 5 = \frac{49}{5}
\]

4. **Multiply by 8**:
\[
8 \times \frac{49}{5} = \frac{8 \times 49}{5} = \frac{392}{5}
\]

Thus, the fully simplified form of the expression \( 8[(10 - 3)^2 \div 5] \) is:
\[
\frac{392}{5}
\]