Find the numerical equivalent of 10^2 ⋅ 10^3

Question

options:

10

1,100

100,000

10^5

Answer 1

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