แก้โจทย์ frac{(b^{6})^{2}}{b^3}=b^2*b^x/b^4

$$\frac { ( b ^ { 6 } ) ^ { 2 } } { b ^ { 3 } } = \frac { b ^ { 2 } \times b ^ { x } } { b ^ { 4 } }$$

หาค่า b

$$\left\{\begin{matrix}\\b=1\text{, }&\text{unconditionally}\\b=-1\text{, }&Denominator(x)\text{bmod}2=1\text{ and }Numerator(x)\text{bmod}2=1\\b\neq 0\text{, }&x=11\end{matrix}\right.$$

หาค่า x

$$\left\{\begin{matrix}x=11\text{, }&b\neq 0\\x\in \mathrm{R}\text{, }&\left(b=-1\text{ and }Numerator(x+2)\text{bmod}2=1\text{ and }Denominator(x)\text{bmod}2=1\right)\text{ or }b=1\end{matrix}\right.$$