Use the product rule to simplify the expression: 5 to the power of 10×5 to the power of 3

5 to the power of 13

5 to the power of 30

25 the power of 13

5 to the power of 7

5 to the power of 10 × 5 to the power of 3 = 5^(10+3) = 5^13

Therefore, the simplified expression is 5 to the power of 13.