Answer:
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%20%3D28x%5E3%5Csqrt%7B3x%7D)
Step-by-step explanation:
The question is poorly formatted. The original question is:
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7)
We have:
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7)
Open bracket
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%20%3D%288%5E%20%5Cfrac%7B2%7D%7B3%7D%20%2Ax%5E%7B3%2A%20%5Cfrac%7B2%7D%7B3%7D%7D%29%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D)
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%20%3D%288%5E%20%5Cfrac%7B2%7D%7B3%7D%20%2Ax%5E2%29%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D)
Express 8 as 2^3
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%20%3D%282%5E%7B3%2A%20%5Cfrac%7B2%7D%7B3%7D%7D%20%2Ax%5E2%29%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D)
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%20%3D%282%5E2%20%2Ax%5E2%29%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D)
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%20%3D4x%5E2%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D)
Express 2^3 as 8
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%3D4x%5E2%20%5Csqrt%7B75x%5E3%7D%20%2B%208%5Csqrt%7B%203x%5E7%7D)
Expand each exponent
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%3D4x%5E2%20%5Csqrt%7B25x%5E2%20%2A3x%7D%20%2B%208%5Csqrt%7B%203x%20%2A%20x%5E6%7D)
Split
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%3D4x%5E2%20%5Csqrt%7B25x%5E2%7D%20%2A%5Csqrt%7B3x%7D%20%2B%208%5Csqrt%7B3x%7D%20%2A%20%5Csqrt%7Bx%5E6%7D)
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%20%3D4x%5E2%20%2A5x%20%2A%5Csqrt%7B3x%7D%20%2B%208%5Csqrt%7B3x%7D%20%2A%20x%5E3)
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%20%3D20x%5E3%5Csqrt%7B3x%7D%20%2B%208x%5E3%5Csqrt%7B3x%7D)
Factorize
![(8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}](https://tex.z-dn.net/?f=%288x%5E3%29%5E%20%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B75x%5E3%7D%20%20%2B%202%5E3%20%5Csqrt%7B%203x%5E7%7D%20%3D28x%5E3%5Csqrt%7B3x%7D)
The answer is 6.27. Hope this helps.
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Answer:
x=132°
Step-by-step explanation:
All four angles should add up to 360°
65°+86°+77°+x=360°
x=132°
If your 2 means "u squared" then
Just do 8-42=-34
The answer is -32u^2
I use ^ to show exponents