Algebra-1

To determine which of the given options is equivalent to $${2}^{\frac {3} {2}}$$ (2 raised to the power of 3/2), we need to simplify the expression $${2}^{\frac {3} {2}}$$.

The fractional exponent rule states that for any positive real number a and any rational number m/n (where m and n are integers and n is not equal to 0),   is equal to the nth root of a^m. 
In this case, a=2, m=3, n=2. 

$${2}^{\frac {3} {2}}$$ is equal to square root of 2³

Calculating the square root of 2³ gives us

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