Simplify:
4s^-2-(4t)^-2
I also answered this question for you a few minutes ago.
But...
you changed the exponent on the first term, which is the right way ?
Anyway, just follow the same steps, it is still a difference of squares question.
To simplify the expression 4s^-2 - (4t)^-2, we can start by dealing with the negative exponents.
When we have a negative exponent, we can rewrite it as the reciprocal of the positive exponent. So, s^-2 can be written as 1/s^2, and (4t)^-2 can be written as 1/(4t)^2.
Now our expression becomes:
4(1/s^2) - 1/(4t)^2
Next, let's simplify the equation further. We can multiply each term by the reciprocal of the fractions to eliminate the denominators.
For the first term, we multiply 4 by 1/s^2, which gives us 4/s^2.
For the second term, we multiply 1 by 1/(4t)^2, which gives us 1/(4t)^2.
Now our expression becomes:
4/s^2 - 1/(4t)^2
Since we cannot combine the terms any further, this is the simplified form of the expression 4s^-2 - (4t)^-2:
4/s^2 - 1/(4t)^2