In order to find which <u>expression</u> is <u>equivalent</u> to ![\sqrt[4]{x^{10}},](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B10%7D%7D%2C)
<u>simplify</u> all given expressions:
0.
![\sqrt[4]{x^{10}}=x^{\frac{10}{4}}=x^{\frac{5}{2}}=x^{2.5}.](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E%7B10%7D%7D%3Dx%5E%7B%5Cfrac%7B10%7D%7B4%7D%7D%3Dx%5E%7B%5Cfrac%7B5%7D%7B2%7D%7D%3Dx%5E%7B2.5%7D.)
1.
![x^2(\sqrt[4]{x^2})=x^2\cdot x^{\frac{2}{4}}=x^2\cdot x^{\frac{1}{2}}=x^2\cdot x^{0.5}=x^{2.5}.](https://tex.z-dn.net/?f=x%5E2%28%5Csqrt%5B4%5D%7Bx%5E2%7D%29%3Dx%5E2%5Ccdot%20x%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%3Dx%5E2%5Ccdot%20x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3Dx%5E2%5Ccdot%20x%5E%7B0.5%7D%3Dx%5E%7B2.5%7D.)
2.
3.
![x^3(\sqrt[4]{x} )=x^3\cdot x^{\frac{1}{4}}=x^3\cdot x^{0.25}=x^{3.25}.](https://tex.z-dn.net/?f=x%5E3%28%5Csqrt%5B4%5D%7Bx%7D%20%29%3Dx%5E3%5Ccdot%20x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3Dx%5E3%5Ccdot%20x%5E%7B0.25%7D%3Dx%5E%7B3.25%7D.)
4.
Therefore,
Answer: correct choice is A
Answer:
If x is the distance from centre fo the circle, with radius 25cm, to its intersection point with the common chord, x²+24²=25² =>x=7cm.
Distance from this intersecting point to the centre of the other circle=39–7=32cm
Ratio of the sides of the right triangle thus formed is 24:32=3:4. Since 3:4:5 is the basic pythagorean triplet, the radius of the other circle=5*24/3=40cm.
Aliter: radius of the other circle=√32²+24²= 40cm.
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Answer:
3
Step-by-step explanation:
In this expression, the first term is <em>2x</em>, then <em>4y, </em>then 8-2 (which simplifies to 6).
Answer:
300
Step-by-step explanation:
300*0.03=9
