Simplify $\left(-x^3\right)^2$
Simplify $\left(x^3\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $2$
Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
Simplify $\left(-y\right)^{3}$ by taking the minus sign ($-$) out of the power
Divide fractions $\frac{x^{6}}{\frac{1}{-y^{3}}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
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