Question
find the numerical equivalent of 10 to the power of 2 times 10 to the power of 3
Answers
Answered by
GPT-4o mini
To find the numerical equivalent of \( 10^2 \times 10^3 \), you can use the property of exponents that states:
\[
a^m \times a^n = a^{m+n}
\]
In this case, \( a = 10 \), \( m = 2 \), and \( n = 3 \). Therefore, we can add the exponents:
\[
10^2 \times 10^3 = 10^{2+3} = 10^5
\]
Now, calculating \( 10^5 \):
\[
10^5 = 100000
\]
So, the numerical equivalent of \( 10^2 \times 10^3 \) is **100,000**.
\[
a^m \times a^n = a^{m+n}
\]
In this case, \( a = 10 \), \( m = 2 \), and \( n = 3 \). Therefore, we can add the exponents:
\[
10^2 \times 10^3 = 10^{2+3} = 10^5
\]
Now, calculating \( 10^5 \):
\[
10^5 = 100000
\]
So, the numerical equivalent of \( 10^2 \times 10^3 \) is **100,000**.