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Simplify $\sqrt[6]{x^{\left(n-1\right)}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $n-1$ and $n$ equals $\frac{1}{6}$
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$m\left(x\right)=\frac{\sqrt[3]{x^{\left(n-2\right)}}\sqrt{x^{\left(n-3\right)}}}{x^{\frac{1}{6}\left(n-1\right)}}$
Learn how to solve algebraic expressions problems step by step online. Simplify the expression m(x)=(x^(n-2)^(1/3)x^(n-3)^(1/2))/(x^(n-1)^(1/6)). Simplify \sqrt[6]{x^{\left(n-1\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals n-1 and n equals \frac{1}{6}. Simplify \sqrt[3]{x^{\left(n-2\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals n-2 and n equals \frac{1}{3}. Simplify \sqrt{x^{\left(n-3\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals n-3 and n equals \frac{1}{2}. When multiplying exponents with same base we can add the exponents.