Simplify to a single power of 5:
5, to the power 5 , times, 5, squared
5
5
×
5
2
5
5
×5
2
5^5 * 5^2 = 5^(5+2) = 5^7
To simplify this expression, we can multiply the exponents of 5.
Starting with 5 to the power 5, we have 5 multiplied by itself 5 times:
5^5 = 5 × 5 × 5 × 5 × 5 = 3125
Next, we have 5 squared, which means 5 multiplied by itself:
5^2 = 5 × 5 = 25
Now, we can multiply these two results together:
3125 × 25 = 78125
So, the simplified expression is 78125, which is 5 raised to the power of 5 and then multiplied by 5 squared.