5 \cdot 10^6 is how many times as large as 5\cdot10^{4}

To determine how many times ( 5 \cdot 10^6 ) is larger than ( 5 \cdot 10^4 ), you can divide the two numbers:

[ \frac{5 \cdot 10^6}{5 \cdot 10^4} ]

The ( 5 ) in the numerator and denominator cancels out:

[ \frac{10^6}{10^4} ]

Using the rule of exponents ( \frac{a^m}{a^n} = a^{m-n} ):

[ 10^{6-4} = 10^2 ]

Now, calculate ( 10^2 ):

[ 10^2 = 100 ]

Thus, ( 5 \cdot 10^6 ) is 100 times as large as ( 5 \cdot 10^4 ).