Step 1: Write both numbers in scientific notation. For more information, use the SN Converter.
$$ 6.05\cdot 10^{8} = 6.05\cdot 10^{8} $$$$ 2.734\cdot 10^{8} = 2.734\cdot 10^{8} $$Step 2: Multiply the numeric parts. Note that in intermediate calculations, we need 6 significant digits.
$$ 6.05 \cdot 2.734 \approx 16.5407 $$Step 3: Multiply $10^{ 8 }$ by $10^{ 8 }$:
$$ 10^{ 8 } \cdot 10^{ 8 } = 10^{ 8+8 } = 10^{ 16 } $$Step 4: Write the solution as the product of the numbers obtained in steps two and three.
$$ 16.5407 \cdot 10^{ 16 } $$Step 5: Number 16.5407 is larger than 10.
To fix this, we need to move the decimal point one place to the left and add 1 to the exponent.