Step 1: Write both numbers in scientific notation. For more information, use the SN Converter.

$$ 1.02\cdot 10^{108} = 1.02\cdot 10^{108} $$$$ 1.02\cdot 10^{107} = 1.02\cdot 10^{107} $$

Step 2: Multiply the numeric parts. Note that in intermediate calculations, we need 6 significant digits.

$$ 1.02 \cdot 1.02 \approx 1.0404 $$

Step 3: Multiply $10^{ 108 }$ by $10^{ 107 }$:

$$ 10^{ 108 } \cdot 10^{ 107 } = 10^{ 108+107 } = 10^{ 215 } $$

Step 4: Write the solution as the product of the numbers obtained in steps two and three.

$$ 1.0404 \cdot 10^{ 215 } $$

Step 5: The decimal solution is. Use the SN Converter for more information.

Scientific notation Calculator