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zimovet [89]
10 months ago
7

convert from radical form to exponential expression in rational form no need to evaluate just be put in simplest form( i already

know how to simplify the multiplication oart i j need help in the division)

Mathematics
1 answer:
Inessa [10]10 months ago
5 0

In order to convert from radical to exponential form, we can use the property below:

\sqrt[c]{a^b}=a^{\frac{b}{c}}

Then, to find the simplest form, we use this property:

\begin{gathered} a^b\cdot a^c=a^{b+c} \\ a^b\colon a^c=a^{b-c} \end{gathered}

So we have:

\begin{gathered} \sqrt[5]{x^3}=x^{\frac{3}{5}} \\ \sqrt[]{x^4}=x^{\frac{4}{2}} \\ \sqrt[]{x^3}=x^{\frac{3}{2}} \\  \\ \sqrt[5]{x^3}\cdot\sqrt[]{x^4}\colon\sqrt[]{x^3} \\ =x^{\frac{3}{5}}\cdot x^{\frac{4}{2}}\colon x^{\frac{3}{2}} \\ =x^{\frac{3}{5}+\frac{4}{2}-\frac{3}{2}} \\ =x^{\frac{3}{5}+\frac{1}{2}} \\ =x^{\frac{6}{10}+\frac{5}{10}} \\ =x^{\frac{11}{10}} \\ =x^1\cdot x^{\frac{1}{10}} \\ =x\sqrt[10]{x} \end{gathered}

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The Wind Mountain excavation site in New Mexico is an important archaeological location of the ancient Native American Anasazi c
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b)

Class Limits  Class Boundaries   Midpoint    f      Rf         Cf

10 - 37            9.5-37.5                   23.5            7     0.096     7      

38 - 65           37.5-65.5                 51.5           25    0.342     32    

66 - 93           65.5-93.5                 79.5          26    0.356     58    

94 -  121        93.5-121.5                   107.5         9     0.123       67    

122 - 149      121.5-149.5                  135.5         5      0.068     72  

150 - 177       149.5-177.5                  163.5        0         0.0      72    

178 - 205       177.5-20.5                  191.5         1       0.014      73  

Total                                                                  73          1.0    

c)

The histogram is in attached file.

Step-by-step explanation:

a)

The width of class interval=range/desired number of classes

The width of class interval=(maximum-minimum)/7

The width of class interval=(200-10)/7

The width of class interval=190/7

The width of class interval=27.14=28 (rounded to next whole number)

Part(b) and part (c) is explained in attached word document.

Download docx
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