Question

Simplify (3x)/(9x^3) when x=5?

Answer 1

To simplify the expression (3x)/(9x^3) when x=5, we first reduce the fraction by canceling common factors and then substitute the value of x. After simplification, we substitute x = 5 to get 1/(3*25), which simplifies to 1/75.

Step-by-step explanation:

To simplify the expression (3x)/(9x^3) when x=5, we first simplify the fraction by canceling common factors and then substituting the value of x.

1. Reduce the fraction by canceling out common factors. The 3 in the numerator and the 9 in the denominator can be simplified because 9 is divisible by 3. So, we get 3/9 = 1/3. For the x terms, we cancel out x in the numerator with one of the x's in x^3 in the denominator, leaving us with 1/x^2.
2. After simplification, we have (1/3)(1/x^2) or 1/(3x^2).
3. Substitute x = 5 into the simplified expression to get 1/(3*5^2) or 1/(3*25) which is 1/75.

The simplified value of the expression when x=5 is 1/75.