Question

calculate.
\\(\frac{1.8 \times 10^{-5}}{6 \times 10^{-9}}\\)
write your answer in scientific notation.

Explanation:

Step1: Divide the coefficients

Divide 1.8 by 6: $\frac{1.8}{6} = 0.3$

Step2: Subtract the exponents of 10

For $10^{-5}$ and $10^{-9}$, use the rule $ \frac{10^a}{10^b}=10^{a - b}$. So $-5-(-9)=-5 + 9=4$. So $10^{-5}\div10^{-9}=10^{4}$

Step3: Combine the results

Multiply the coefficient and the power of 10: $0.3\times10^{4}$. But in scientific notation, the coefficient should be between 1 and 10. So we rewrite 0.3 as $3\times10^{- 1}$. Then $3\times10^{-1}\times10^{4}=3\times10^{3}$

Answer:

$3\times10^{3}$