Question

divide. write your answer in scientific notation. \\(\frac{9 \times 10^{-4}}{3 \times 10^{-8}}\\) \\(\square \times 10^{\square}\\)

Explanation:

Step1: Divide the coefficients

We have the coefficients 9 and 3. Dividing them gives $\frac{9}{3} = 3$.

Step2: Divide the powers of 10

Using the rule of exponents $a^m\div a^n = a^{m - n}$, for $10^{-4}\div10^{-8}$, we get $10^{-4 - (-8)} = 10^{-4 + 8} = 10^{4}$.

Answer:

$3\times 10^{4}$