Question

calculate.
\\(\frac{6 \times 10^{9}}{5 \times 10^{5}}\\)
write your answer in scientific notation.

Explanation:

Step1: Separate coefficients and powers of 10

We can rewrite the fraction as the product of two fractions: one with the coefficients and one with the powers of 10. So, \(\frac{6\times 10^{9}}{5\times 10^{5}}=\frac{6}{5}\times\frac{10^{9}}{10^{5}}\).

Step2: Simplify the coefficient and the power of 10

First, simplify \(\frac{6}{5}\), which is equal to \(1.2\). Then, for the powers of 10, use the rule of exponents \(a^{m}\div a^{n}=a^{m - n}\). So, \(\frac{10^{9}}{10^{5}} = 10^{9-5}=10^{4}\).

Step3: Multiply the results

Now, multiply the simplified coefficient and the simplified power of 10: \(1.2\times10^{4}\).

Answer:

\(1.2\times 10^{4}\)