Take me apart and then put me back together.

What is the most efficient method for simplifying the expression x⁵*x³?

Since x⁵=x*x*x*x*x and x³=x*x*x, then x⁵*x³=x*x*x*x*x*x*x*x=x⁸

However, expansion is not efficient, especially for large exponents.

What can you do with the exponents to avoid expansion?

To avoid expansion, you can simply add the exponents together. In this case, x⁵ * x³ can be simplified as x⁵+³ = x⁸.