Express the following fraction in simplest form using only positive exponents.
start fraction, left bracket, 2, s, right bracket, squared, divided by, 6, s, to the power 4 , end fraction
6s
4
(2s)
2
Answer
Attempt 1 out of 2
To simplify the fraction (2s)^2 / 6s^4, we need to simplify both the numerator and the denominator.
First, let's simplify the numerator:
(2s)^2 = 4s^2
Now, let's simplify the denominator:
6s^4 = 6 * (s^4) = 6s^4
Therefore, the simplified fraction is 4s^2 / 6s^4.
To further simplify this fraction, we can divide both the numerator and the denominator by the greatest common factor (GCF). In this case, the GCF of 4s^2 and 6s^4 is 2s^2.
Dividing both the numerator and the denominator by 2s^2, we get:
(4s^2)/(6s^4) = (2s^2 * 2)/(3s^2 * 2s^2)
= 4/(3s^2)
So, the final simplified fraction is 4/(3s^2).