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Simplify $\sqrt{x^4}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $4$ and $n$ equals $\frac{1}{2}$
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$\lim_{x\to-3}\left(\frac{\left(x^{2}+\sqrt{81}\right)\left(\sqrt{x^4}-\sqrt{81}\right)}{x+3}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(-3)lim((x^4-81)/(x+3)). Simplify \sqrt{x^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Calculate the power \sqrt{81}. Simplify \sqrt{x^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Calculate the power \sqrt{81}.