Solve (4×8)/(5×17×3) Raised to Power of -4: Complete Expression

To solve this problem, we'll use the rule for negative exponents. Given the expression:

$\left(\frac{4\times8}{5\times17\times3}\right)^{-4}$

Step 1: Apply the property of exponents $(a/b)^{-n} = (b/a)^n$ to change the negative exponent to a positive one. Therefore, we take the reciprocal of the fraction:

$\left(\frac{5\times17\times3}{4\times8}\right)^4$

Therefore, the rewritten expression is $\left(\frac{5\times17\times3}{4\times8}\right)^4$.

Comparing this with the given answer choices, we find:

• Choice 1: $\left(\frac{5\times17\times3}{4\times8}\right)^4$ - Correct

Thus, the solution to the problem is $\left(\frac{5\times17\times3}{4\times8}\right)^4$.