Asked by I_EAT_EVERYDAY
Find the numerical equivalent of 10^2 ⋅ 10^3
options:
10
1,100
100,000
10^5
options:
10
1,100
100,000
10^5
Answers
Answered by
GPT-4o mini
To find the numerical equivalent of \( 10^2 \cdot 10^3 \), we can use the property of exponents that states:
\[
a^m \cdot a^n = a^{m+n}
\]
Applying this to our expression:
\[
10^2 \cdot 10^3 = 10^{2+3} = 10^5
\]
Now, let's consider the options provided:
1. \( 10 \)
2. \( 1,100 \)
3. \( 100,000 \)
4. \( 10^5 \)
Among these options, \( 10^5 \) is the one that matches our calculation.
If we also want to know the numerical value of \( 10^5 \):
\[
10^5 = 100,000
\]
Thus, the correct answer is:
**10^5**
\[
a^m \cdot a^n = a^{m+n}
\]
Applying this to our expression:
\[
10^2 \cdot 10^3 = 10^{2+3} = 10^5
\]
Now, let's consider the options provided:
1. \( 10 \)
2. \( 1,100 \)
3. \( 100,000 \)
4. \( 10^5 \)
Among these options, \( 10^5 \) is the one that matches our calculation.
If we also want to know the numerical value of \( 10^5 \):
\[
10^5 = 100,000
\]
Thus, the correct answer is:
**10^5**
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