We can simplify the expression using the laws of exponents and basic arithmetic operations.
First, let's evaluate each exponent:
- (343)^(1/3) = 7, since 7^3 = 343
- (0.14)^(-1) = 1/0.14 ≈ 7.14
- 25^(-1/2) = 1/√25 = 1/5
Next, let's substitute these values back into the original expression:
(343)^(1/3) x (0.14)^(-1) x 25^(-1/2) = 7 x 7.14 x 1/5
Multiplying these three numbers gives us:
7 x 7.14 x 1/5 ≈ 10
Therefore, the answer is 10.