Question

evaluate the expression.
$(1.7 \times 10^{-2}) \times (5 \times 10^{4})$
$? \times 10^{\square}$

Explanation:

Step1: Multiply the coefficients

Multiply \(1.7\) and \(5\). So, \(1.7\times5 = 8.5\).

Step2: Multiply the powers of 10

Using the rule \(a^m\times a^n=a^{m + n}\), for \(10^{-2}\times10^{4}\), we have \(10^{-2+4}=10^{2}\).

Step3: Combine the results

Combine the coefficient and the power of 10. So the expression becomes \(8.5\times10^{2}\).

Answer:

\(8.5\times 10^{2}\) (So the first box is \(8.5\) and the second box is \(2\))