Final answer:
The expression 5⁸*5⁶ can be rewritten as 5¹⁴ by applying the rule of adding exponents to combine the exponents while maintaining the base of 5.
Step-by-step explanation:
When asked to rewrite the expression using each base only once for the multiplication of 5⁸*5⁶, we apply the rule of adding exponents. This mathematical rule states that when you multiply two numbers with the same base, you keep the base and simply add the exponents. So, the expression 5⁸*5⁶ can be rewritten as 5¹⁴ (since 8+6=14), which is the result of combining the exponents while maintaining the base of 5.