Answer:
![\sqrt[4] {x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%20%7Bx%5E3%7D)
Step-by-step explanation:
At this point, we can transform the square root into a fourth root by squaring the argument, and bring into the other root:
![\sqrt x \cdot \sqrt[4] x =\sqrt [4] {x^2} \cdot \sqrt[4] x = \sqrt[4]{x^2\cdot x} = \sqrt[4] {x^3}](https://tex.z-dn.net/?f=%5Csqrt%20x%20%5Ccdot%20%5Csqrt%5B4%5D%20x%20%3D%5Csqrt%20%5B4%5D%20%7Bx%5E2%7D%20%5Ccdot%20%5Csqrt%5B4%5D%20x%20%3D%20%5Csqrt%5B4%5D%7Bx%5E2%5Ccdot%20x%7D%20%3D%20%5Csqrt%5B4%5D%20%7Bx%5E3%7D)
Alternatively, if you're allowed to use rational exponents, we can convert everything:
![\sqrt x \cdot \sqrt[4] x = x^{\frac12} \cdot x^\frac14 = x^{\frac12 +\frac14}= x^{\frac24 +\frac14}= x^\frac34 = \sqrt[4] {x^3}](https://tex.z-dn.net/?f=%5Csqrt%20x%20%5Ccdot%20%5Csqrt%5B4%5D%20x%20%3D%20x%5E%7B%5Cfrac12%7D%20%5Ccdot%20x%5E%5Cfrac14%20%3D%20x%5E%7B%5Cfrac12%20%2B%5Cfrac14%7D%3D%20x%5E%7B%5Cfrac24%20%2B%5Cfrac14%7D%3D%20x%5E%5Cfrac34%20%3D%20%5Csqrt%5B4%5D%20%7Bx%5E3%7D)
The two bars ( | | ) symbolize absolute value
Absolute value is essentially just making the number given positive.
If the given number is already positive then the absolute value is the same as the original number
|-13| is 13
The absolute value of -13 is 13
Hope this helped!
~Just a girl in love with Shawn Mendes
The answers to the questions on how she would use the colored chips are given here:
- writing a new article 6 yellow chips
- designing a computer presentation 10 red chips
<h3>How to solve for the values</h3>
For the first percentage
20 / 100 = x/20
= 20 * 20 = 100x
400 = 100x
divide through by 100
x = 400/100
x = 4
For the second percentage
30/100 = x/20
600 = 100x
x = 600/100
x = 6
For the last
50/100 = x/20
1000 = 100x
x = 10
The proof is that 6 + 4 + 10 still gives us 20
Read more on percentages here: brainly.com/question/24877689
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