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0^{\frac{5}{4}}z+10\times 0^{\frac{1}{2}}z
To multiply powers of the same base, add their exponents. Add 1 and \frac{1}{4} to get \frac{5}{4}.
0z+10\times 0^{\frac{1}{2}}z
Calculate 0 to the power of \frac{5}{4} and get 0.
0+10\times 0^{\frac{1}{2}}z
Anything times zero gives zero.
0+10\times 0z
Calculate 0 to the power of \frac{1}{2} and get 0.
0+0z
Multiply 10 and 0 to get 0.
0+0
Anything times zero gives zero.
0
Add 0 and 0 to get 0.