Answer:

Step-by-step explanation:
1) Rewriting for the sake of clarity:

2) To solve it, we need to turn the rational exponent equal to 1 via exponent rule of product. Multiplying 2/3 by its reciprocal 3/2 we get 1, since this is an equality we need to do it on the other side.
![(x-1)^{\frac{2}{3}}=64\\\\((x-1)^{\frac{2}{3}}]^{\frac{3}{2}}=(64)^{\frac{3}{2}}\\(x-1)=\sqrt{64^{3}}\\x-1+1=512+1\\x=513](https://tex.z-dn.net/?f=%28x-1%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D64%5C%5C%5C%5C%28%28x-1%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%3D%2864%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5C%5C%28x-1%29%3D%5Csqrt%7B64%5E%7B3%7D%7D%5C%5Cx-1%2B1%3D512%2B1%5C%5Cx%3D513)
The answer is simply "8".
Answer:
Step-by-step explanation:

Equation:

2y - 2*9 = 15(x - 4)
2y - 18 = 15x - 60
2y - 18 + 60 = 15x
2y + 42 = 15x
15x - 2y = 42
Answer:
Step-by-step explanation:
2) r = 16/2 = 8 cm
Area of top and bottom = 2*πr²
= 2 * 3.14 * 8 * 8
= 401.92 cm²
Midlle part = h * πd
= 6 * 3.14 * 16
= 301.44 cm²
Total = 401.92 + 301.44
= 703.36 cm²
3) Area of front and back = 

Area of bottom = length * breadth
= 12* 3
= 36 cm²
Area of left = 12 * 4
= 48 cm²
Area of right = 12 * 5 = 60 cm²
Total = 12 + 36 + 48 + 60 = 156cm²