How do you simplify #5^2times5^3#?

1 Answer
Jan 3, 2017

Answer:

#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/

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.