Final answer to the problem
$\sqrt[18]{729}\sqrt[3]{a^{2}}\sqrt[3]{x^{4}}$
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Step-by-step Solution
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- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
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- Find the derivative
- Factor
- Factor by completing the square
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1
Calculate the power $3^6$
$\sqrt[18]{729a^{12}x^{24}}$
Learn how to solve power of a product problems step by step online.
$\sqrt[18]{729a^{12}x^{24}}$
Learn how to solve power of a product problems step by step online. Solve the product power (3^6a^12x^24)^(1/18). Calculate the power 3^6. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{a^{12}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 12 and n equals \frac{1}{18}. Simplify \sqrt{x^{24}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 24 and n equals \frac{1}{18}.
Final answer to the problem
$\sqrt[18]{729}\sqrt[3]{a^{2}}\sqrt[3]{x^{4}}$
