The formula that describes the transformation of rational exponents to radical form is:
![a^{\frac{n}{m}} = \sqrt[m]{a^n}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D%20%3D%20%5Csqrt%5Bm%5D%7Ba%5En%7D)
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Transformation of rational exponents to radical form:</h3>
- A rational exponent is represented by:
.
- That is, the exponent is a fraction, in which m is the numerator and n is the denominator.
- In the conversion to radical form, the numerator will be power(also exponent), while the denominator will be the root.
Hence, the formula for the transformation is:
![a^{\frac{n}{m}} = \sqrt[m]{a^n}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bn%7D%7Bm%7D%7D%20%3D%20%5Csqrt%5Bm%5D%7Ba%5En%7D)
You can learn more about the transformation of rational exponents to radical form at brainly.com/question/7296346
Answer:
Differences=

Step-by-step explanation:
Volume of first box=15cm×4cm×8cm

Volume of second box=10cm×9cm×4cm

Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The mean mileage of a tire is 
The standard deviation is 
The sample size is n = 209
Generally the standard error of mean is mathematically represented as

=>
=>
Generally the probability that the sample mean would differ from the population mean by less than 199 miles is mathematically represented as


=> 
=> 
=> 
=> 
From the z table the area under the normal curve to the left corresponding to 1.11 and -1.11 is

and

So

=> 
Answer: y=-x-8
Step-by-step explanation:
x-int: (-8, 0)
y-int: (0, -8)
m=(y2-y1)/(x2-x1)
m=(-8-0)/(0-(-8))
m=-8/(0+8)
m=-8/8
m=-1
y=mx+b
y=-x+b
-8=-0+b
b=-8
y=-x-8
5*30 = 150
9*30 = 270
Since the ratio is 5:9 you have to multiply both numbers in the ratio by the same constant.
I just started multiplying by 10, then 20, then 30 until I got numbers that had a difference of 120.
There are 150 boys.
Setting up an equation
5x + 120 = 9x
Solve for x and then multiply the ratio by the x to get the same result.