Answer:
The equivalent expression to the given expression is ![\sqrt[3]{32x^8y^{10}}=2x^2y^3\sqrt[3]{4x^2y}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D%3D2x%5E2y%5E3%5Csqrt%5B3%5D%7B4x%5E2y%7D)
Step-by-step explanation:
The given expression is ![\sqrt[3]{32x^8y^{10}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D)
To find the equivalent expression:
![\sqrt[3]{32x^8y^{10}}=(32x^8y^{10})^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E8y%5E%7B10%7D%7D%3D%2832x%5E8y%5E%7B10%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
We may write the above expression as below:
(using square root properties)
![=(2\sqrt[3]{4})(x^2\sqrt[3]{x^2})(y^3\sqrt[3]{y})](https://tex.z-dn.net/?f=%3D%282%5Csqrt%5B3%5D%7B4%7D%29%28x%5E2%5Csqrt%5B3%5D%7Bx%5E2%7D%29%28y%5E3%5Csqrt%5B3%5D%7By%7D%29)
(combining the like terms and doing multiplication )
![=2x^2y^3\sqrt[3]{4x^2y}](https://tex.z-dn.net/?f=%3D2x%5E2y%5E3%5Csqrt%5B3%5D%7B4x%5E2y%7D)
Therefore
Therefore the equivalent expression to the given expression is
The answer is The formula for the area of a parallelogram is A = bh, and the formula for area of a triangle is A = 1/2bh. Since a triangle is half of the area of a parallelogram with the same base and height, the only difference in the formula is 1/2.
Your welcome!
3x + 6 - 2X + 7. 3X -2X +6+7. X + 13
First you would have to calculate the total price the lawn mowers are bought for. Which you would multiply
300 × 75 = $22,500.
After you do that you get the total in which all 300 lawnmowers would be sold for. In this, you would multiply
300 × 104.95 = $31,485
Once you get these answers you will subtract
$31,485 - $22,500 = $8,985
