An exponent of the form 1/n for a number n is taken to mean taking the nth root of the number. In this case, we're just working with n=2, which means a square root and should be familiar to you.
253/2 can be easily rewritten by taking the square root first. I'd rather not deal...
In the case that you mean (-4)4, it can be written out as (-4)(-4)(-4)(-4). Since multiplying two negatives gives a positive, this is equal to 16*16 = 256. More generally, (-x)n for x positive and n even will always yield a positive answer.
If you mean to write -(44), the negative would stay...
Just like regular old fractions, we want to find a common denominator for these guys.
Let's multiply the 1/x by 1, but let's express 1 as x/x.
(x/x)(1/x) + 1/x2
Multiplying that out, we get
x/x2 + 1/x2
Now that we've found the common denominator, we...
Answering! Was just making sure I could actually post because it was giving me trouble the other day. Editing now.
I'm assuming that you're meaning to write the following:
In this case, we compare similar bases' exponents. We subtract the lesser from the higher number and keep the rest wherever the higher number is.
More generally, if we have xn/xm, it would simplify to xn-m. You...
The equation of our line is given as y=mx+b. In this case, our slope m is equal to 1/4 and our y intercept b is equal to 2.
Now, to find the line perpendicular to this first given line, our slope will have to be the
negative reciprocal of the given slope. Our new slope for this line is...
I'm assuming f is just a variable here, and not meaning a function of some variable s+k. In that case, I would need more information like what the function is.
c = (1/3)f(s+k)
Let's multiply out the right hand side to easily get access to our variable s.
c = (1/3)fs + (1/3)fk