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Simplify $\sqrt{8^{\left(x-1\right)}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $x-1$ and $n$ equals $\frac{1}{2}$
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$\left(x+\frac{-1}{\sqrt{x}}\right)\left(2^x- 8^{\frac{1}{2}\left(x-1\right)}\right)=0$
Learn how to solve sum rule of differentiation problems step by step online. Find the break even points of the expression (x+-1/(x^1/2))(2^x-8^(x-1)^1/2)=0. Simplify \sqrt{8^{\left(x-1\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals x-1 and n equals \frac{1}{2}. Break the equation in 2 factors and set each equal to zero, to obtain. Solve the equation (1). Combine all terms into a single fraction with \sqrt{x} as common denominator.