Step 1: First, we will convert the number 52 to scientific notation. After that, we will multiply the result by 10-7.
Step 2: Since 52 do not have a decimal point, we will add one at the end of the number 52.
52.
Step 3: Move the decimal point from its current position (the black dot) to a position immediately to the right of the first nonzero digit (the red dot).
5.2.
Step 4: We moved the decimal point 1 spaces to the right. Therefore, the exponent on base 10 will be positive 1.Now we know that the:
Mantissa = 5.2
Exponent = 1
So, the solution is:
$$52 = \color{blue}{ 5.2} \cdot 10^{ \color{red}{ 1 }}$$Step 5: Now we need to multiply the above result by $10^{ -7 }$.
$$ 5.2 \cdot 10^{ 1 } \cdot 10^{ -7 } = 5.2 \cdot 10^{ 1-7 } = 5.2 \cdot 10^{ -6 } $$