The problem is to simplify the expression $\frac{x^{10}}{x^{-4}}$.

AlgebraExponentsSimplification
2025/6/7

1. Problem Description

The problem is to simplify the expression x10x4\frac{x^{10}}{x^{-4}}.

2. Solution Steps

To simplify the expression x10x4\frac{x^{10}}{x^{-4}}, we can use the rule for dividing exponents with the same base, which states that xaxb=xab\frac{x^a}{x^b} = x^{a-b}.
In this case, we have a=10a = 10 and b=4b = -4. So, we have
x10x4=x10(4)\frac{x^{10}}{x^{-4}} = x^{10 - (-4)}
=x10+4 = x^{10 + 4}
=x14 = x^{14}

3. Final Answer

x14x^{14}