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

$$ 5.65\cdot 10^{8} = 5.65\cdot 10^{8} $$$$ 2.588\cdot 10^{8} = 2.588\cdot 10^{8} $$

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

$$ 5.65 \cdot 2.588 \approx 14.6222 $$

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.

$$ 14.6222 \cdot 10^{ 16 } $$

Step 5: Number 14.6222 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.

$$ 1.46222 \cdot 10^{ 17 } $$

Scientific notation Calculator