Final answer to the problem
$\frac{\left(-2a\right)^{40}}{\left(1+\sqrt{3}\sqrt{a}\right)^{40}}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
The power of a product is equal to the product of it's factors raised to the same power
$\left(\frac{-2a}{1+\sqrt{3}\sqrt{a}}\right)^{40}$
2
The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
$\frac{\left(-2a\right)^{40}}{\left(1+\sqrt{3}\sqrt{a}\right)^{40}}$
Final answer to the problem
$\frac{\left(-2a\right)^{40}}{\left(1+\sqrt{3}\sqrt{a}\right)^{40}}$
