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:
10
Step-by-step explanation:
x = Edith's age = 20 years
y = Ronald's age
x = 20 = y/4
y = 20×4 = 80 years
in z years we have
(x + z) = (y + z)/3
(20 + z) = (80 + z)/3
3(20 + z) = 80 + z
60 + 3z = 80 + z
60 + 2z = 80
2z = 20
z = 10
in 10 years Edith's age will be 1/3 of Ronald's age.
then Edith will be 30, and Ronald will be 90.
30 = 90/3
correct.
Answer:
50 and 30.94
Step-by-step explanation:
The coat cost 46.5 pounds after a 7 percent reduction
so we can write:
- 46.5⇒ (100-7)⇒ 93 percent
- x(the initial price) ⇒ 100 percent
using the proprtionality relation:
x= (100*46.5)/93 = 50
so the initial price of the coat is 50 pounds
The jumper costs 32.8 pounds after an increase of 6 percent
so:
- 32.8⇒(100+6)⇒ 106 percent
- x (the initial price)⇒ 100 percent
using proportionality:
x= (100*32.8)/106 = 30.94
the initial price is 30.94 pounds
Answer:
5?
Step-by-step explanation:
You start from negative -1 and you got all the way to 4, so the distance in-between the objects are 5
x²-3
Step-by-step explanation:
The expression given is;
6x²-18
Finding the greatest common factor of the terms and simplifying the expression will be;
Divide the terms by 6 to get;
x²-3
Graphing the expression to find the area model will be as attached;
Learn More
Factorizing expressions:brainly.com/question/12290978
Keywords : factor, greatest common factor, terms, area model
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