Let's analyze the question:

We need to find which expression is equivalent to $5^6$.

Breaking it down:

$5^6 = 5 \times 5 \times 5 \times 5 \times 5 \times 5$

Now, let's examine the given choices:

1. $25 \times 5 \times 5$

   • $25 = 5^2$, so this expands to $5^2 \times 5 \times 5 = 5^4$, which is not $5^6$.

2. $36 \times 6 \times 6 \times 6$

   • This expression involves 6s, not 5s, so it is incorrect.

3. $125 \times 125$

   • $125 = 5^3$, so this becomes $5^3 \times 5^3 = 5^{3+3} = 5^6$, which is correct.

4. $6 \times 5$

   • This is just $6 \times 5 = 30$, not even close to $5^6$.

Correct Answer:

$125 \times 125$ is equivalent to $5^6$.

Would you like a deeper explanation? Let me know!

Related Questions:

1. How do you simplify expressions with exponents?
2. What are the rules for multiplying powers with the same base?
3. How do you expand and simplify exponent expressions?
4. How do you convert numbers like 125 and 36 into exponent form?
5. What are the common exponent mistakes students make?

Tip:

When multiplying two powers with the same base, you add the exponents:
$a^m \times a^n = a^{m+n}$