x10 to the power of

\({1x}^{-1} = 1\left ( \frac{1}{x}\right ) = \frac{1}{x}\)

\({2x}^{-2} = 2\left ( \frac{1}{{x}^{2}} \right ) = \frac{2}{{x}^{2}}\)

\(\frac{2}{3}{x}^{-2} = \frac{2}{3}\left ( \frac{1}{{x}^{2}} \right ) = \frac{2}{3{x}^{2}}\)

\(\times {10}^{-1} = \times \frac{1}{{10}^{1}}\)which is the same as dividing by 10

\(35\times{10}^{-2}\)     \(=\)     \(35\times\frac{1}{{10}^{2}}\)     \(=\)     \(35\times\frac{1}{100}\)     \(=\)     \(\frac{35}{100} = 0.35\)

To do 10 x 10^-2, move the decimal place along two (same as dividing by 10² which is 100)

i.e. 10/100 = 0.10

10 x 10^-3, move the decimal place along two (same as dividing by 10³ which is 1000)

i.e. 10/1000 = 0.01