Question

Find the numerical equivalent of 81⋅83
.(1 point)
Responses

4,096
4,096

84
8 superscript 4 baseline

512
512

520

Answer 1

To find the numerical equivalent of \( 81 \cdot 83 \), we can use the difference of squares formula:

\[
a^2 - b^2 = (a - b)(a + b)
\]

In this case, we can express \( 81 \cdot 83 \) as:

\[
81 \cdot 83 = (82 - 1)(82 + 1) = 82^2 - 1^2
\]

Calculating \( 82^2 \):

\[
82^2 = 6724
\]

Now apply the difference of squares:

\[
81 \cdot 83 = 6724 - 1 = 6723
\]

So the numerical equivalent of \( 81 \cdot 83 \) is \( 6723 \).

Among the provided options (4,096; \( 8^4 \); 512; 520), none corresponds to the correct answer. Therefore, the answer is not listed in your choices, but the correct result is \( 6723 \).