Solve (3/280)^(-7): Negative Exponent with Complex Fraction

The goal is to simplify the expression $\left(\frac{3}{5 \times 8 \times 7}\right)^{-7}$ by converting the negative exponent to a positive one.

Step 1: Apply the negative exponent rule:
The expression $\left(\frac{3}{5 \times 8 \times 7}\right)^{-7}$ implies we take the reciprocal of the fraction and change the exponent to positive:
$\left(\frac{3}{5 \times 8 \times 7}\right)^{-7} = \left(\frac{5 \times 8 \times 7}{3}\right)^7$.

Step 2: Simplify the expression:
By applying the negative exponent rule correctly, the expression is simplified correctly to $\left(\frac{5 \times 8 \times 7}{3}\right)^7$.

Thus, the expression $\left(\frac{3}{5 \times 8 \times 7}\right)^{-7}$ simplifies to:

$\left(\frac{5 \times 8 \times 7}{3}\right)^7$.