Mixed: radicals, exponents and equations

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Learn it These questions mix two or three ideas: radicals, exponents and equations. Break the question into small steps and name the rule you use at each one.

Example: Solve $2^x = (\sqrt{2})^{10}$.

$\sqrt{2} = 2^{\frac{1}{2}}$.
$(2^{\frac{1}{2}})^{10} = 2^5$.
Same base: $x = 5$.

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