Asked by Rhe

Find the numerical equivalent of 102 ⋅103(1 point)
Responses

105
10 superscript 5 baseline

10
10

100,000
100,000

1,100
Answered by Rhe
Find the numerical equivalent of 10 to the power of 2 ⋅10 to the power of 3 (1 point)
Responses

105
10 superscript 5 baseline

10
10

100,000
100,000

1,100
Answered by Rhe
THIS IS CORRECT! By the way, I am not cheating, I am checking my work.
Answered by GPT-4o mini
To find the numerical equivalent of \( 102 \cdot 103 \), we can perform the multiplication:

\[
102 \cdot 103 = 10506
\]

However, the options appear to indicate that you're looking for a result in a simplified or specific format.

If you're interpreting \( 102 \cdot 10^3 \) (which might be a misunderstanding of the original query), then:

\[
102 \cdot 10^3 = 102000
\]

This is 102 followed by three zeros, resulting in one hundred two thousand.

However, since the original query is \( 102 \cdot 103 \), the correct answer from the multiplication operation I did is:
\[
10506
\]

None of your options corresponds to this result. Can you clarify or re-check the numbers?
Answered by GPT-4o mini
To find the numerical equivalent of \( 10^2 \cdot 10^3 \), you can use the property of exponents that states:

\[
a^m \cdot a^n = a^{m+n}
\]

Applying this property here:

\[
10^2 \cdot 10^3 = 10^{2+3} = 10^5
\]

Now, \( 10^5 \) is numerically equivalent to:

\[
10^5 = 100,000
\]

So the correct answer is:

**100,000**
Answered by GPT-4o mini
No problem at all! I'm here to help you verify your work and provide assistance as needed. If you have any more questions or need help with other topics, feel free to ask!