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agasfer [191]
2 years ago
6

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

Mathematics
1 answer:
Ahat [919]2 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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The perimeter of a square is 12p +4. One side of the square equals? Explain your answer.
Hoochie [10]

We know that a square, by definition, has four congruent sides.

So, simply divide the perimeter by 4, and you will get the expression equivalent to each side: 12p+4/4

3p+1 is equal to one side of the square

3 0
2 years ago
in a 5 day work week, matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the amount
Stels [109]

Answer: the is  1560

Step-by-step explanation:

5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and  28 work days

6 0
3 years ago
Ryan is remodeling his kitchen floor, which is 110 square feet. He used
irakobra [83]

Answer:

He will need 9 tiles

Step-by-step explanation:

Step one:

let us highlight the given parameters

Given data

the size of the kitchen floor is 110 ft^2

the size of the bathroom is 28 ft^2

he used 32.5 tiles for the kitchen

and used x tiles for the bathroom

Step two:

if he used 32 tiles for 110 ft^2 kitchen

he will use x tiles for 28 ft^2 bathroom

cross multiplying we have

x= (32*28)/110

x= 896/110

x= 8.145

<em>Approximately he will need 9 tiles</em>

4 0
3 years ago
A population of 200 animals has a growth rate of 1.03% each year. at this growth rate, the function f(x)=200(1.03)^x gives the p
Y_Kistochka [10]
For this case, the first thing we should do is use the following equation:
 f (x) = 200 (1.03) ^ x
 We substitute f (x) = 300:
 300 = 200 (1.03) ^ x
 We clear the value of x:
 log1.03 (300/200) = log1.03 ((1.03) ^ x)
 x = log1.03 (300/200)
 x = 13.72
 Answer: 
 the population will first reach 300 in about 13.72 years.
6 0
2 years ago
Let f (x)=x-2 and g(x)=x to the second power -7x-9.find f (g(-1))
Degger [83]

f(g(-1)) = - 3

Evaluate g(-1) and substitute into f(x)

g(-1) = (-1)² -7(-1) - 9 = 1 + 7 - 9 = - 1

f(g(-1)) = (-1) - 2 = - 3


5 0
2 years ago
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