Question

Find the numerical equivalent of 10 to the power of 2 ⋅10 to the power of 3
(1 point)
Responses

10
10

105
10 superscript 5 baseline

1,100
1,100

100,000

Answer 1

To find the numerical equivalent of \( 10^2 \cdot 10^3 \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

So, we have:

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

The numerical equivalent of \( 10^5 \) is \( 100,000 \).

Therefore, the correct response is:

**100,000**