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\left(\sqrt{2}\right)^{\frac{3}{4}}
Use the rules of exponents to simplify the expression.
2^{\frac{1}{2}\times \frac{3}{4}}
To raise a power to another power, multiply the exponents.
2^{\frac{3}{8}}
Multiply \frac{1}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.