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i need help with square roots
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\[a^{\frac{1}{b}}=\sqrt[b]{a}\\a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\sqrt{ab}=\sqrt{a}\sqrt{b}\\\frac{a^b}{a^c}=a^{b-c}=a^{-(c-b)}=\frac{1}{a^{c-b}}\\\\(ab)^c=a^c*b^c\\a^b*a^c = a^{b+c}\\\sqrt[n]{\text{prime}}\text{ can NOT be reduced}\]
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