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Exercise

$\left(\cos^5\left(x\right)\right)^{\frac{x}{\sin\left(2x\right)-\tan\left(2x\right)}}$

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Final answer to the exercise

$\cos\left(x\right)^{\frac{5x}{\sin\left(2x\right)-\tan\left(2x\right)}}$

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Main Topic: Powers of powers

When we have a power inside another power, we can simplify multiplying the exponents: $\left(x^m\right)^n=x^{m\cdot n}$.

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