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\frac{\left(0\times 5\right)^{10}}{\left(0\times 5\right)^{3}}
To multiply powers of the same base, add their exponents. Add 10 and 0 to get 10.
\left(0\times 5\right)^{7}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 10 to get 7.
0^{7}
Multiply 0 and 5 to get 0.
0
Calculate 0 to the power of 7 and get 0.