Question

3^(-1) * (4*6) * 2^(-3)

Answer 1

The correct answer is 1

Here's how I got my answer:

Step 1: Simplify $4*6$ to 24. Which leaves us with $3^(-1) * 24 * 2^(-3)$

Step 2: Simplify $3^(-1)$ to $1/3$. Which leaves us with $1/3 * 24 * 2^(-3)$

Step 3: Simplify $2^(-3)$ to $1/2^3$. Which leaves us with $1/3 * 24 * 1/2^3$

Step 4: Simplify $2^3$ to 8. Which leaves us with $1/3 * 24 * 1/8$

Step 5: Simplify to $1 * 24 * 1 / 3 * 8$

Step 6: Simplify $1 * 24 * 1$ to 24. Which leaves us with $24/ 3 * 8$

Step 7: Simplify $3 * 8$ to 24. Which leaves us with $24/24$

Step 8: Simplify $24/24$, to get your answer, 1.