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

Jan 3, 2017

${5}^{5} \mathmr{and} 3125$

#### 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:

Therefore, ${5}^{2} \times {5}^{3}$ becomes ${5}^{2 + 3}$, which is the same as ${5}^{5}$ or $5 \times 5 \times 5 \times 5 \times 5$.

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