What is \sqrt[6]{(64a^{12})/(729b^6)} ?

The solution to \sqrt[6]{(64a^{12})/(729b^6)} is (2a^2)/(3b)

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simplify \sqrt[6]{(64a^{12})/(729b^6)}

simplify

\frac{2 a ^{2}}{3 b}

Solution steps

Apply radical rule:

assuming

a \geq 0, b \geq 0

Simplify

= \frac{2 a ^{2}}{3 b}

\frac{a ^{2} - b ^{2}}{ab} - \frac{ab - b ^{2}}{ab - a ^{2}}

cos^{2} (θ) + sin^{2} (θ)

(6 - 8 i) (4 + 5 i)

\frac{cot ( x ) + 2 cos ( x )}{csc ( x ) - sin ( x )}

cos^{2} (θ) - sin^{2} (θ)

What is \sqrt[6]{(64a^{12})/(729b^6)} ?
The solution to \sqrt[6]{(64a^{12})/(729b^6)} is (2a^2)/(3b)