Question

Find the product of 25⋅25 using the Product Rule of Exponents.(1 point)
Responses

20
20

1,024
1,024

0
0

1

1 answer

To find the product of \( 25 \cdot 25 \) using the Product Rule of Exponents, we can express \( 25 \) as \( 25^1 \). According to the Product Rule, when multiplying two expressions with the same base, we add the exponents.

So, we can rewrite it as:

\[ 25 \cdot 25 = 25^1 \cdot 25^1 = 25^{1+1} = 25^2 \]

Now, we can compute \( 25^2 \):

\[ 25^2 = 625 \]

However, this value (625) doesn't match any of the options provided. Since none of the provided responses include 625, it appears that the response options may not be relevant to this calculation.

Among the provided options, none accurately represent the product of \( 25 \cdot 25 \) as calculated through the Product Rule of Exponents. Therefore, it's advisable to re-evaluate the options given, as they do not correspond to the correct answer of 625.