What is the most efficient method for simplifying the expression

?

Since x^8=x*x*x*x*x*x*x*x and x^3=x*x*x , then
x^8/x^3=(x*x*x*x*x*x*x*x)/x*x*x=x^5

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

What can you do with the exponents to avoid expansion?

1 answer

You can simplify the expression by subtracting the exponents:

x^8 / x^3 = x^(8-3) = x^5

This method is much more efficient than expanding the expression.
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