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2\times 10^{-2}\times 8
To multiply powers of the same base, add their exponents. Add 7 and -9 to get -2.
2\times \frac{1}{100}\times 8
Calculate 10 to the power of -2 and get \frac{1}{100}.
\frac{1}{50}\times 8
Multiply 2 and \frac{1}{100} to get \frac{1}{50}.
\frac{4}{25}
Multiply \frac{1}{50} and 8 to get \frac{4}{25}.