Simplify $\left(x^2\right)^5$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $5$
$\frac{x^{2\cdot 5}}{x^2+x-2}$
2
Multiply $2$ times $5$
$\frac{x^{10}}{x^2+x-2}$
Final Answer
$\frac{x^{10}}{x^2+x-2}$
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Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.