25^10 • (1/5)^20

To calculate this expression, you can simplify the exponents first and then perform the multiplication.

Let's simplify the exponents:

25^10 = (5^2)^10 = 5^(2*10) = 5^20

(1/5)^20 = 1^20/5^20 = 1/5^20

Now, let's perform the multiplication:

5^20 • 1/5^20 = (5^20)(1/5^20)

When multiplying two exponents with the same base, you add their exponents:

(5^20)(1/5^20) = 5^(20-20) = 5^0

Any non-zero number raised to the power of zero is 1, so:

5^0 = 1

Therefore, 25^10 • (1/5)^20 is equal to 1.