Given:
Consider the given expression is
To find:
The radical form of given expression.
Solution:
We have,
![(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{2^3}\sqrt[10]{x^9}\sqrt[5]{y^3}](https://tex.z-dn.net/?f=%284x%5E3y%5E2%29%5E%7B%5Cfrac%7B3%7D%7B10%7D%7D%3D%5Csqrt%5B5%5D%7B2%5E3%7D%5Csqrt%5B10%5D%7Bx%5E9%7D%5Csqrt%5B5%5D%7By%5E3%7D)
![[\because x^{\frac{1}{n}}=\sqrt[n]{x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%7D%5D)
![(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{8y^3}\sqrt[10]{x^9}](https://tex.z-dn.net/?f=%284x%5E3y%5E2%29%5E%7B%5Cfrac%7B3%7D%7B10%7D%7D%3D%5Csqrt%5B5%5D%7B8y%5E3%7D%5Csqrt%5B10%5D%7Bx%5E9%7D)
Therefore, the required radical form is ![\sqrt[5]{8y^3}\sqrt[10]{x^9}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B8y%5E3%7D%5Csqrt%5B10%5D%7Bx%5E9%7D)
.
Answer:
domain is equal to x. therefore, the domain is all of the x values. x = -6,-1,0,3
Step-by-step explanation:
Answer:
192 mm
Step-by-step explanation:
The area of a triangle is 1/2 bh and the base is 8 and the height is 8. 8*8= 64 divided by two is 32. There are four of these sides, so 4* 32 is 128. Then you also have to account for the square bottom which has dimensions of a width of 8 and a height of 8 making the bottom 64. When you add 128 and 64 together you get 192.
Hope this helped
3*4 is 12, 12*4 is 48, 48*4 is 192, so the answer is 192
The value of x that will make the statement true is 1
Step-by-step explanation:
The given is:
- f(x) = x - 4
- g(x) = 2x + 3
We need to find the value of x which makes [f(x) + 2g(x)] = 7
∵ f(x) = x - 4
∵ g(x) = 2x + 3
∵ f(x) + 2g(x) = 7
- Multiply g(x) by 2
∵ 2g(x) = 2(2x + 3) = 2(2x) + 2(3) = 4x + 6
∴ 2g(x) = 4x + 6
∵ f(x) + 2g(x) = 7
∴ (x - 4) + (4x + 6) = 7
- Add the like terms in the left hand side
∴ (x + 4x) + (-4 + 6) = 7
∴ 5x + 2 = 7
- Subtract 2 from both sides
∴ 5x = 5
- Divide both sides by 5
∴ x = 1
The value of x that will make the statement true is 1
Learn more:
You can learn more about the equations in brainly.com/question/1284310
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