Question

Write your answer as a power or as a product of powers. $$ 5^{8} \cdot 5^{3} $$

Short answer

The simplified form of the expression is \(5^{11}\)

Step-by-step solution

Identify the base and the exponents

From the given expression \(5^{8} \cdot 5^{3}\), we see that the base is 5 and we have two exponents, 8 and 3.

Apply exponent laws

Using the exponent law that states when multiplying powers with the same base, add the exponents, the expression becomes \(5^{8+3}\).

Simplify the expression

Simplify the expression \(5^{8+3}\) to find the final solution. Adding the exponents yields \(5^{11}\).