How do you simplify 5^2times5^3?

1 Answer
Jan 3, 2017

5^5 or 3125

Explanation:

Based on the exponent product rule, which states that whenever you are multiplying exponents with the same base, you just add the exponents together and solve.

In this case 5 is the base and the numbers 2 and 3 represent the exponent: ![http://slideplayer.com/slide/5707708/](useruploads.socratic.orguseruploads.socratic.org)

Therefore, 5^2xx5^3 becomes 5^(2+3), which is the same as 5^5 or 5xx5xx5xx5xx5.

After you multiply everything together you'll obtain a value of 3125.