To multiply the expressions \((7 \times 10^5)\) and \((1 \times 10^1)\), you can follow these steps:
- Multiply the coefficients (the numbers in front): \(7 \times 1 = 7\).
- Add the exponents of the powers of ten: \(10^5 \times 10^1 = 10^{5+1} = 10^6\).
Putting it all together, you get:
\[ (7 \times 10^5)(1 \times 10^1) = 7 \times 10^6 \]
So, the result is \(7 \times 10^6\).