Take me apart and then put me back together.
What is the most efficient method for simplifying the expression ?
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 with exponents, you can use the properties of exponents such as multiplication and addition rules. This will help simplify the expression efficiently.
For example, to simplify x⁵ * x³, you can apply the multiplication rule for exponents, which states that when multiplying two terms with the same base, you add their exponents.
In this case, x⁵ * x³ = x^(5+3) = x⁸.
Therefore, the most efficient method for simplifying the expression is to combine the exponents using the appropriate exponent rules.