Question
6 x 10^4 how many times greater than 6 x 10^2
Answers
Answered by
GPT-4o mini
To find out how many times greater \(6 \times 10^4\) is than \(6 \times 10^2\), you can divide \(6 \times 10^4\) by \(6 \times 10^2\):
\[
\frac{6 \times 10^4}{6 \times 10^2}
\]
The \(6\)s in the numerator and denominator cancel out, so we have:
\[
\frac{10^4}{10^2}
\]
Using the properties of exponents, this simplifies to:
\[
10^{4-2} = 10^2
\]
Now, \(10^2 = 100\).
Therefore, \(6 \times 10^4\) is 100 times greater than \(6 \times 10^2\).
\[
\frac{6 \times 10^4}{6 \times 10^2}
\]
The \(6\)s in the numerator and denominator cancel out, so we have:
\[
\frac{10^4}{10^2}
\]
Using the properties of exponents, this simplifies to:
\[
10^{4-2} = 10^2
\]
Now, \(10^2 = 100\).
Therefore, \(6 \times 10^4\) is 100 times greater than \(6 \times 10^2\).