Final answer:
To simplify 5x5^2, you add the exponents of the powers with the same base to get 5^(1+2), which results in 5^3.
Step-by-step explanation:
To simplify the expression 5x52, we have to apply the rules of exponents.
According to mathematical basics, when we multiply two powers with the same base, we add the exponents.
In this case, we have the base of 5 and one of the exponents is understood to be 1 (since 5 is the same as 51), and the other exponent is 2.
Therefore, we combine the exponents by adding them together to get the simplified expression.
To simplify:
This result means that we simply multiply the base, 5, by itself three times: 5 x 5 x 5.