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Simplify $\left(\cos\left(x\right)^5\right)^{\frac{x}{\sin\left(2x\right)-\tan\left(2x\right)}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $5$ and $n$ equals $\frac{x}{\sin\left(2x\right)-\tan\left(2x\right)}$
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$\cos\left(x\right)^{5\left(\frac{x}{\sin\left(2x\right)-\tan\left(2x\right)}\right)}$
Learn how to solve powers of powers problems step by step online. Simplify the power of a power cos(x)^5^(x/(sin(2x)-tan(2x))). Simplify \left(\cos\left(x\right)^5\right)^{\frac{x}{\sin\left(2x\right)-\tan\left(2x\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals \frac{x}{\sin\left(2x\right)-\tan\left(2x\right)}. Multiplying the fraction by 5.