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GarryVolchara [31]
3 years ago
9

How to get rid of a negative exponent in a fraction?

Mathematics
1 answer:
Sophie [7]3 years ago
6 0
So let’s say we have (3/2)^-2. We know that any negative exponent means we have to put that number under 1, with a positive exponent:

1 / (3/2)^2

There’s also another thing we can do. There’s a rule in maths that says we can get the positive exponent if we just flip the fraction, so we get:

(3/2)^-2

Flip it:

(2/3)^2

It would be the same as 1 / (3/2)^2, since that would be 1/1 / 9/4, resulting in 4/9 (multiply inner part with inner part (9*1) and that goes under, and outer with outer (4*1) and that goes over). (2/3)^2 is also 4/9, so both ways are valid.
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How the use a parentheses in an equation affect the answer
seraphim [82]
Parentheses affect how equations are done.

EX. 1+1*4
4+1=5

VS

(1+1)*4
2*4=8
5 0
2 years ago
Please help!? 5 Stars! :0 :(
zvonat [6]

OK.  These problems are easy if you know the quadratic formula,
and they're impossible if you don't.

Here's the quadratic formula:

When the equation is in the form of      Ax² + Bx + C = 0

then                    x =  [ -B plus or minus √(B²-4AC) ] / 2A

I'm sure that formula is in your text or your study notes,
right before these questions.  You should cut it out or
copy it, and tape it inside the cover of your notebook.
Then, you'll always have it when you need it, until
you have it memorized and can rattle it off.

The first question says        3x²  +  5x  +  2  = 0

Is this in the form of             Ax²  +  Bx  +  C  = 0    ?

             Yes !                    A=3      B=5   C=2

             so you can use the quadratic formula to solve it.

            x =  [ -B plus or minus √(B²-4AC) ] / 2A

               =  [ -5 plus or minus √(5² - 4·3·2) ] / 2·3

               =  [ -5 plus or minus √(25 - 24)  ]  /  6

               =  [  -5 plus or minus  √1          ]  /  6

           x  =        -4 / 6  =  -2/3
and
           x  =        -6 / 6  =  -1 .    
_______________________________________

The second question says

                                         4x²  +  5x  -  1 = 0

Is this in the form of          Ax²  +  Bx + C = 0  ?

           Yes it is !            A=4     B=5   C= -1  

         so you can use the quadratic formula to solve it.

            x =  [ -B plus or minus √(B²-4AC) ] / 2A

Now, you take it from here.

6 0
2 years ago
Which is a proportional relationship<br> y=x+1<br> y=3x+3<br> y=4x<br> y=8+x
yulyashka [42]

Answer:

4=4x

Step-by-step explanation:

the formula y=mx+b

corresponds to y=slope+y intercept

all proportional relationships start on the origin so the y-intercept is always 0

the fact that the equation y = 4x doesn't have an intercept shows its proportional this can go with any similar equation like y = 4.5x

8 0
2 years ago
A system of linear equations is shown below.
Firdavs [7]
The answer of this is gonna be 7
5 0
2 years ago
What is the result of adding these two equations?<br> 5x-y=6<br> -2x+y=8
Stells [14]
3x=14 I am pretty sure
3 0
2 years ago
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