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\left(\frac{m^{4}}{2}\right)^{-3}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\left(m^{4}\right)^{-3}}{2^{-3}}
To raise \frac{m^{4}}{2} to a power, raise both numerator and denominator to the power and then divide.
\frac{m^{-12}}{2^{-3}}
To raise a power to another power, multiply the exponents. Multiply 4 and -3 to get -12.
\frac{m^{-12}}{\frac{1}{8}}
Calculate 2 to the power of -3 and get \frac{1}{8}.
m^{-12}\times 8
Divide m^{-12} by \frac{1}{8} by multiplying m^{-12} by the reciprocal of \frac{1}{8}.
\left(\frac{m^{4}}{2}\right)^{-3}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\left(m^{4}\right)^{-3}}{2^{-3}}
To raise \frac{m^{4}}{2} to a power, raise both numerator and denominator to the power and then divide.
\frac{m^{-12}}{2^{-3}}
To raise a power to another power, multiply the exponents. Multiply 4 and -3 to get -12.
\frac{m^{-12}}{\frac{1}{8}}
Calculate 2 to the power of -3 and get \frac{1}{8}.
m^{-12}\times 8
Divide m^{-12} by \frac{1}{8} by multiplying m^{-12} by the reciprocal of \frac{1}{8}.