evaluate the expression for = -3 and s = 5

To evaluate the expression for r = -3 and s = 5, we substitute these values into the expression.

First, let's rewrite the expression as:
3r / (s^(-2))

Substituting r = -3 and s = 5:
3(-3) / (5^(-2))

Now, let's simplify this expression:
-9 / (1/25)

To divide by a fraction, we can multiply by its reciprocal:
-9 * (25/1)

Multiplying the numbers:
-225

Therefore, the value of the expression for r = -3 and s = 5 is -225.

x^3/x^5=?

When dividing two exponential expressions with the same base, we subtract the exponents. In this case, we have:

x^3 / x^5

To divide these, we subtract the exponent of the denominator from the exponent of the numerator:

x^(3-5)

Simplifying the exponent, we have:

x^(-2)

In exponential form, this can be written as:

1/x^2

Therefore, x^3 / x^5 simplifies to 1/x^2.

x^5/x^3

When dividing exponential expressions with the same base, we subtract the exponent in the denominator from the exponent in the numerator. In this case, we have:

x^5 / x^3

To divide, we subtract the exponent of the denominator from the exponent of the numerator:

x^(5-3)

Simplifying the exponent, we have:

x^2

Therefore, x^5 / x^3 simplifies to x^2.