Simplify (5s^-7)/(10s^-9)?

(5/10)s^(-7+9) = s^2/2

How did you get s^2? And how did the denominator become 2?

5/10 = 1/2

subtract exponents when dividing

s^-7 / s^-9 = s^-7 * s^9 = s^2

Looks like you need to review dividing powers. Also constructing fractions.

Got it now.

BTW, I started learning how to divide powers less than 30 minutes ago, so I'm not going to revise, yet :).

To simplify the expression (5s^-7)/(10s^-9), we need to combine the terms in the numerator and denominator.

First, let's simplify the coefficients. 5 divided by 10 is 1/2. So our expression becomes:

(1/2)(s^-7)/(s^-9)

Next, let's combine the variables. When we divide two terms with the same base, we subtract the exponents. In this case, that means subtracting -7 from -9. When we subtract a negative exponent, we add the exponents. Therefore, we have:

(1/2)(s^(-7-(-9)))

Simplifying further, we get:

(1/2)(s^(-7+9))

=(1/2)(s^2)

So the simplified expression is (1/2)(s^2).