By what number should (−15)−1 be multiplied so that product is equal to(−5)−2.

To solve this problem, we first need to understand what (−15)−1 and (−5)−2 mean.

In mathematics, the negative exponent rule states that a number with a negative exponent should be reciprocated to make the exponent positive. So, (−15)−1 is the same as -1/15 and (−5)−2 is the same as 1/25.

The question is asking for a number, let's call it x, such that when we multiply (−15)−1 by x, we get (−5)−2.

So, we can set up the equation as follows:

(-1/15) * x = 1/25

To solve for x, we can multiply both sides of the equation by -15:

x = -15 * (1/25)

Solving this gives:

x = -3/5

So, the number by which (−15)−1 should be multiplied so that the product is equal to (−5)−2 is -3/5.