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\left(m^{1}\right)^{4}\times \frac{1}{2m^{4}}
Use the rules of exponents to simplify the expression.
1^{4}\left(m^{1}\right)^{4}\times \frac{1}{2}\times \frac{1}{m^{4}}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
1^{4}\times \frac{1}{2}\left(m^{1}\right)^{4}\times \frac{1}{m^{4}}
Use the Commutative Property of Multiplication.
1^{4}\times \frac{1}{2}m^{4}m^{4\left(-1\right)}
To raise a power to another power, multiply the exponents.
1^{4}\times \frac{1}{2}m^{4}m^{-4}
Multiply 4 times -1.
1^{4}\times \frac{1}{2}m^{4-4}
To multiply powers of the same base, add their exponents.
1^{4}\times \frac{1}{2}m^{0}
Add the exponents 4 and -4.
\frac{1}{2}m^{0}
Raise 2 to the power -1.
\frac{1}{2}\times 1
For any term t except 0, t^{0}=1.
\frac{1}{2}
For any term t, t\times 1=t and 1t=t.