When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:
In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.
For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Hope this helps!
Answer:
Yes
Step-by-step explanation:
One is in the hundreds and one is in the thousands. 100x10=1000
Answer:
x^2 /(x^2 -36)
Step-by-step explanation:
x/(x-6) ÷ (x+6) /x
Copy dot flip
x/(x-6) * x/(x+6)
x^2/ ( x-6)(x+6)
This is the difference of squares( a-b)(a+b) = a^2 -b^2
x^2 /(x^2 -36)
The roots are 1, 1 again, and -5
