Step 1: Write both numbers in scientific notation. For more information, use the SN Converter.
$$ 1.9\cdot 10^{25} = 1.9\cdot 10^{25} $$$$ 6.02\cdot 10^{23} = 6.02\cdot 10^{23} $$Step 2: Multiply the numeric parts. Note that in intermediate calculations, we need 6 significant digits.
$$ 1.9 \cdot 6.02 \approx 11.438 $$Step 3: Multiply $10^{ 25 }$ by $10^{ 23 }$:
$$ 10^{ 25 } \cdot 10^{ 23 } = 10^{ 25+23 } = 10^{ 48 } $$Step 4: Write the solution as the product of the numbers obtained in steps two and three.
$$ 11.438 \cdot 10^{ 48 } $$Step 5: Number 11.438 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.