25^3 * 5^3 = (5*5)^3 *5^3
=5^3 * 5^3 * 5^3
And when the base is same and there is the sign of multiplication we add up the powers.
So,
= 5^3+3+3=5^9 = 19,53,125

Solution:

To evaluate the expression (25)^3 * (5)^3, we need to follow the rules of exponents.

Rule 1: When multiplying two numbers with the same base, we add the exponents.
Rule 2: To raise a number to a power, we multiply the number by itself the number of times indicated by the exponent.

Let's break down the expression step by step:

Step 1: Evaluate (25)^3
To raise 25 to the power of 3, we multiply 25 by itself three times:
(25)^3 = 25 * 25 * 25 = 15625

Step 2: Evaluate (5)^3
To raise 5 to the power of 3, we multiply 5 by itself three times:
(5)^3 = 5 * 5 * 5 = 125

Step 3: Multiply the results of step 1 and step 2
Now, we can multiply the results of step 1 and step 2:
15625 * 125 = 1953125

Therefore, the value of the expression (25)^3 * (5)^3 is 1953125.

Summary:
- (25)^3 means multiplying 25 by itself three times, which results in 15625.
- (5)^3 means multiplying 5 by itself three times, which results in 125.
- Multiplying the results of step 1 and step 2 gives us 1953125 as the final answer.

Visually appealing summary:
- (25)^3 = 15625
- (5)^3 = 125
- (25)^3 * (5)^3 = 1953125