Question

attendance this past season for the pittsburgh points was $1\times10^{6}$ and for the miami means it was $3\times10^{7}$. how many times larger was the attendance for the miami means than the pittsburgh points? provide an answer as an integer or in scientific notation.

Explanation:

Step1: Set up the division

To find out how many times larger the attendance of Miami Means is than Pittsburgh Points, we divide the attendance of Miami Means by that of Pittsburgh Points. The formula is \(\frac{3\times10^{7}}{1\times10^{6}}\).

Step2: Use the quotient rule of exponents

According to the quotient rule \(a^{m}\div a^{n}=a^{m - n}\) (\(a
eq0\), \(m,n\) are real numbers). Here \(a = 10\), \(m=7\), \(n = 6\). So \(\frac{3\times10^{7}}{1\times10^{6}}=3\times10^{7-6}\).

Step3: Calculate the exponent

\(7-6 = 1\). Then \(3\times10^{7 - 6}=3\times10^{1}\).

Answer:

\(3\times10^{1}\)