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\frac{\left(\frac{3}{2}\right)^{4}}{\left(\frac{3}{2}\right)^{4}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
1
Divide \left(\frac{3}{2}\right)^{4} by \left(\frac{3}{2}\right)^{4} to get 1.