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4^{3}\times 4-\left(4^{2}\right)^{3}\times 4^{\frac{6}{2}}
To multiply powers of the same base, add their exponents. Add 0 and 3 to get 3.
4^{4}-\left(4^{2}\right)^{3}\times 4^{\frac{6}{2}}
To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.
4^{4}-4^{6}\times 4^{\frac{6}{2}}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
256-4^{6}\times 4^{\frac{6}{2}}
Calculate 4 to the power of 4 and get 256.
256-4096\times 4^{\frac{6}{2}}
Calculate 4 to the power of 6 and get 4096.
256-4096\times 4^{3}
Divide 6 by 2 to get 3.
256-4096\times 64
Calculate 4 to the power of 3 and get 64.
256-262144
Multiply 4096 and 64 to get 262144.
-261888
Subtract 262144 from 256 to get -261888.