Question

divide.\\(
\frac{6 \times 10^{5}}{2 \times 10^{3}}\\)
\\(3 \times 10^{0}\\) \\(3 \times 10^{5}\\) \\(3 \times 10^{2}\\) \\(3 \times 10^{3}\\)

Explanation:

Step1: Divide the coefficients

We have the coefficients \(6\) and \(2\). Dividing them gives \(\frac{6}{2}=3\).

Step2: Subtract the exponents of 10

For the powers of \(10\), we use the rule \(a^m\div a^n = a^{m - n}\). Here, \(10^{5}\div10^{3}=10^{5 - 3}=10^{2}\).

Step3: Combine the results

Multiply the result from the coefficient division and the result from the exponent subtraction. So we get \(3\times10^{2}\).

Answer:

\(3\times10^{2}\) (the option with "3 × 10²")