Question
5 × 10to the6power is how many times greater than 5 × 10to the2power
Answers
GPT-4o mini
To find out how many times greater \( 5 \times 10^6 \) is compared to \( 5 \times 10^2 \), you can divide the two numbers:
\[
\frac{5 \times 10^6}{5 \times 10^2}
\]
The 5s in the numerator and denominator cancel out:
\[
= \frac{10^6}{10^2}
\]
Using the properties of exponents, this simplifies to:
\[
= 10^{6 - 2} = 10^4
\]
Now calculate \( 10^4 \):
\[
10^4 = 10,000
\]
Thus, \( 5 \times 10^6 \) is **10,000 times greater** than \( 5 \times 10^2 \).
\[
\frac{5 \times 10^6}{5 \times 10^2}
\]
The 5s in the numerator and denominator cancel out:
\[
= \frac{10^6}{10^2}
\]
Using the properties of exponents, this simplifies to:
\[
= 10^{6 - 2} = 10^4
\]
Now calculate \( 10^4 \):
\[
10^4 = 10,000
\]
Thus, \( 5 \times 10^6 \) is **10,000 times greater** than \( 5 \times 10^2 \).