Question

simplify and express your answer in scientific notation: \\(\frac{2.64 \times 10^{-6}}{8 \times 10^{-9}}\\)

Explanation:

Step1: Split the fraction

$\frac{2.64 \times 10^{-5}}{8 \times 10^{-3}} = \frac{2.64}{8} \times \frac{10^{-5}}{10^{-3}}$

Step2: Calculate coefficient division

$\frac{2.64}{8} = 0.33$

Step3: Simplify exponent terms

$\frac{10^{-5}}{10^{-3}} = 10^{-5 - (-3)} = 10^{-2}$

Step4: Combine and adjust to scientific notation

$0.33 \times 10^{-2} = 3.3 \times 10^{-3}$

Answer:

$3.3 \times 10^{-3}$