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\left(\frac{1}{10}\right)^{2}\times 10^{3}
To raise a power to another power, multiply the exponents. Multiply -1 and -2 to get 2.
\frac{1}{100}\times 10^{3}
Calculate \frac{1}{10} to the power of 2 and get \frac{1}{100}.
\frac{1}{100}\times 1000
Calculate 10 to the power of 3 and get 1000.
10
Multiply \frac{1}{100} and 1000 to get 10.