How to simplify $(3 \times 10^{1}) (10^{- 2})$ $(3times10^1)(10^-2)$ in scientific notation?

Question

1740 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-21T21:15:42

Simplify the indices of $10$ $10$ using the laws of indices,

$3 \times 10^{1} \times 10^{- 2}$ $3color(blue)(xx10^1 xx10^-2)$

$= 3 \times 10^{1 - 2}$ $=3xxcolor(blue)(10^(1-2))$

$= 3 \times 10^{- 1}$ $=3xx10^-1$

How to simplify (3times10^1)(10^-2)(3×101)(10−2)(3times10^1)(10^-2) in scientific notation?