# What is (4^2-8)*2^3-8*5-:10?

Jun 7, 2018

$\left[\left(16 - 8\right) \times 8\right] - \frac{40}{10} = 64 - 4 = 60$

#### Explanation:

It's actually extremely simple if you know the order of operations.
PEMDAS!

• Parentheses
• Exponent
• Multiplication
• Division
• Subtraction

It also goes left to right! So beginning with the parentheses, we focus on what is in the parentheses

$\left({4}^{2} - 8\right)$

meaning $16$, which is the square of $4$, subtracted by $8$. which turns in to $8$.

$\left({4}^{2} - 8\right) = 16 - 8 = 8$

After the paratheses, you multiply by $8$ the cube of $2$, which is then subtracted by $4$.

$8 \times {2}^{3} = 8 \times 8 = 64$

Since, if you follow PEMDAS and multiply then divide from left to right, it's $\frac{40}{10}$, which is $4$. So the answer, in the end, is

$64 - \frac{40}{10} = 64 - 4 = 60$