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Rewrite the rational exponent as a radical by extending the properties of integers exponents.

2^3/4 / 2^1/2

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\frac{2 ^{(3)/(4)} }{2^(1)/(2)}=2 ^{(3)/(4)-(1)/(2)}=2 ^{(3)/(4)-(2)/(4)}=2 ^{(1)/(4) }=\sqrt[4]{2}


User ErnestBidouille
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