Question

calculate.
\\(\frac{5.4 \times 10^{-2}}{9 \times 10^{-8}}\\)
write your answer in scientific notation.

Explanation:

Step1: Split into coefficient and power parts

$\frac{5.4 \times 10^{-2}}{9 \times 10^{-8}} = \frac{5.4}{9} \times \frac{10^{-2}}{10^{-8}}$

Step2: Calculate coefficient division

$\frac{5.4}{9} = 0.6$

Step3: Simplify power of 10

$\frac{10^{-2}}{10^{-8}} = 10^{-2 - (-8)} = 10^{6}$

Step4: Adjust to scientific notation

$0.6 \times 10^{6} = 6 \times 10^{5}$

Answer:

$6 \times 10^{5}$