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agasfer [191]
3 years ago
6

What is the radical form of each of the given expressions?

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

Step-by-step explanation:

These exponential forms can be written into radicals very easily as long as you remember the rule:  The denominator of the rational exponent serves as the index of the radical and the numerator serves as the exponent on the radicand. Let's look at a rational exponent.  3/4  4 would be the index on the radical (the number that sits in the little dip of the radical sign) and 3 is the power on the base.  So

x^{\frac{3}{4}} can be written in radical form as

\sqrt[4]{x^3}

Let's do 3^3/2 in your problem.  2 is the index (which is a "normal" square root and you don't need to write a 2 there cuz it's understood that it's a 2 if nothing is there), and 3 is the power on the base, which in our case is a 3.  Bases can be numbers OR letters.

3^{\frac{3}{2}}=\sqrt[2]{3^3}=\sqrt{3^3}

That does in fact have an actual number answer, but I don't think you are simplifying them yet, only learning to write them from one form to another, so there you go!

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
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5 to the root of five(3 to the root of 6 + the root of 6)
alexdok [17]
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3 years ago
What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6)?
aleksandrvk [35]

Answer:

y=1/4x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

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3 0
2 years ago
22<br> Solve for x.<br> 3x - 5 = 10<br> x equals.....<br> help
kramer

Answer:

x = 5

Step-by-step explanation:

3x - 5 = 10

We want to isolate the x.

3x - 5 = 10\\+5\;\;\;\;\;\;\;\;\;         +5

3x = 15

Now, we want the x not to have a coefficient. We want it just to be x =. We will do this via inverse operations. Since 3 x is 3 multiplied by x, we will divide each side by 3.

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~InLoveWithPugs

Moderator\\Math \ Enthusiast

7 0
2 years ago
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