A power of 10 multiplied by any number \( n \) (where \( n \) can be any real number) will result in a number that can be expressed in scientific notation. Specifically, if \( 10^k \) is a power of 10 (where \( k \) is an integer), then:
\[ 10^k \times n \]
gives you a value that is \( n \) shifted \( k \) decimal places to the right if \( k \) is positive, or to the left if \( k \) is negative.
For example:
- If \( k = 2 \), then \( 10^2 \times n = 100 \times n \).
- If \( k = -3 \), then \( 10^{-3} \times n = 0.001 \times n \).
You can multiply a power of 10 by any number of times, meaning you can apply multiplication multiple times to that expression. Thus, the operation could be performed repeatedly while maintaining the base number influenced by the power of 10.
If you meant specific operations or expressions involving powers of 10, please provide more information for a detailed explanation!