Answer
$$35/4$$
Work Step by Step
$$\frac{2[8+(67-2^6)^3]}{8}$$
$$PEMDAS: Parenthesis, Exponents, Multiply/Division, Addition/Subtraction$$
1. Solve the exponent: $2^6$
$$2^6=2\times2\times2\times2\times2\times2=64$$
2. Replace $2^6$ with $64$
$$\frac{2[8+(67-64)^3]}{8}$$
3. Solve inner parenthesis: $(67-64)$
$$67-64=3$$
4. Replace $(67-64)$ with $3$
$$\frac{2[8+(3)^3]}{8}$$
5. Solve the exponent: $3^3$
$$3^3=3\times3\times3=27$$
6. Replace $(3)^3$ with $27$
$$\frac{2[8+27]}{8}$$
7. Solve bracket: $[8+27]$
$$8+27=35$$
8. Replace $[8+27]$ with $35$
$$\frac{2[35]}{8}$$
9. Simplify numerator: $2[35]$
$$2\times35=70$$
10. Replace $2[35]$ with $70$
$$\frac{70}{8}$$
11. Simplify fraction: $\frac{70}{8}$
$$\frac{70}{8}=\frac{35}{4}$$
