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Mathematics

Simplify:

(36x2)12(36x^2)^{\dfrac{1}{2}}

Exponents

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Answer

(36x2)12=[(6x)2]12=(6x)2×12=(6x)22=6x(36x^2)^{\dfrac{1}{2}}\\[1em] = [(6x)^2]^{\dfrac{1}{2}}\\[1em] = (6x)^{2 \times \dfrac{1}{2}}\\[1em] = (6x)^{\dfrac{2}{2}}\\[1em] = 6x

(36x2)12=6x(36x^2)^{\dfrac{1}{2}} = 6x

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