Take me apart and then put me back together.

Question

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?

Answer 1

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