What is 5^-2?

I got 1/25
Is this correct?
THANK YOU SO MUCH FOR YOUR HELP

correct

tHANK YOU, i AM FINALLY UNDERSTANDING THE WORK AND NOW GETTING THEM CORRECT.

tHANKS

Yes, your answer is correct! To understand how to arrive at this answer, let's break down the steps:

To solve 5^-2, we use the rule that a negative exponent means we take the reciprocal of the base raised to the positive exponent. In this case, the base is 5 and the positive exponent is 2.

So, 5^-2 can be written as 1 / 5^2.

Next, calculate 5^2, which is equal to 25.

Then, take the reciprocal of 25, which yields 1/25.

Therefore, the value of 5^-2 is indeed 1/25.

You're welcome! I'm glad I could help. If you have any further questions, feel free to ask!