Step 1: Write both numbers in scientific notation. For more information, use the SN Converter.
$$ 2.38\cdot 10^{8} = 2.38\cdot 10^{8} $$$$ 280\cdot 10^{-9} = 2.8\cdot 10^{-7} $$Step 2: Divide the numeric parts. Note that in intermediate calculations, we need 6 significant digits.
$$ \frac{ 2.38 }{ 2.8 } \approx 0.85 $$Step 3: Divide $10^{ 8 }$ by $10^{ -7 }$:
$$ \frac{ 10^{ 8 } }{ 10^{ -7 } } = 10^{ 8 - ( -7 ) } = 10^{ 15 } $$Step 4: Write the solution as the product of the numbers obtained in steps two and three.
$$ 0.85 \cdot 10^{ 15 } $$Step 5: Number 0.85 smaller than 10.
To fix this, we need to move the decimal point one place to the right and subtract 1 from the exponent.