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).