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3 years ago

How do you convert a radical expression to a rational exponent and vice versa?

1 answer:

5 0

Take the expression x^2/3 which has an exponent of 2/3. The top of the fraction refers to the power - that is x^2 ( x squared). and the 3 indicates a cubic root.

So in radical form it is ∛(x^2)

Converting radical to exponent an example would be

∛(x^5) = x^(5/3)

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What is 1/2 times 5/2

Elena L [17]

Answer:

1/2 x 1/5 is .1

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8^x and y = 2^x + 2 intersect are the

torisob [31]

Answer:

Step-by-step explanation:

Part A:

We have two equations in the given question:

y=8x and y=2x+2

Then these two equations will intersect at a point where y is same fro both the equations:

In equation y=8x we will exchange y with the other equation which is y=2x+2 then we would have 8x=2x+2..

Part B:

8x = 2x + 2. Take the integer values of x between −3 and 3

x= -3

8(-3)=2(-3)+2

-24=-6+2

-24= -4

It is false

Now plug x= -2

8(-2)=2(-2)+2

-16 = -4+2

-16 = -2

This is false

Now plug x= -1

8(-1)=2(-1)+2

-8 = -2+2

-8=0

It is false

Now plug x= 0

8(0)=2(0)+2

0=0+2

0=2

It is false

Now plug x= 1

8(1)=2(1)+2

8=2+2

8=4

False

Now plug x= 2

8(2)=2(2)+2

16=4+2

16=6

False

Now plug x=3

8(3)=2(3)+2

24=6+2

24=8

It is false

It means there is no solution to 8x=2x+2 for the integers values of x between −3 and 3

Part C:

Plot the two given functions on a coordinate plane and identifying the point of intersection(values of the variables which satisfy both equations at a particular point) of the two graphs.

The graph is attached. The point of intersection at x =0.333 and value of y = 2.667....