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\left(\left(-\frac{3}{8}\right)^{2}\right)^{4}
Use the rules of exponents to simplify the expression.
\left(-\frac{3}{8}\right)^{2\times 4}
To raise a power to another power, multiply the exponents.
\left(-\frac{3}{8}\right)^{8}
Multiply 2 times 4.
\frac{6561}{16777216}
Raise -\frac{3}{8} to the power 8.