# How do you simplify 2^3 ÷ (7 ÷ 7 ÷ 8) using order of operations?

Mar 11, 2018

The final answer would be 64. We figure this out through the use of BIMDAS (Brackets, Indices, Multiplication/Division, Addition/Subtraction)

#### Explanation:

Begin with what is inside the brackets $\left(7 \div 7 \div 8\right)$. This will equal 0.125 or $\frac{1}{8}$. This will give us ${2}^{3} \div 0.125$.

Next we deal with indices, which in this case is ${2}^{3}$. If we expand this we get $2 \cdot 2 \cdot 2$ which will equal 8.

Now we are at $8 \div 0.125$ or $8 \div \frac{1}{8}$

This will produce a result of 64.