Step-by-step Solution

Solve the product power $\sqrt[4]{81a^{12}b^{24}}$

Go!
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Final Answer

$3a^{3}b^{6}$

Step-by-step Solution

Problem to solve:

$\left(81a^{12} b^{24}\right)^{\frac{1}{4}}$
1

The power of a product is equal to the product of it's factors raised to the same power

$3\sqrt[4]{a^{12}b^{24}}$
2

The power of a product is equal to the product of it's factors raised to the same power

$3a^{3}b^{6}$

Final Answer

$3a^{3}b^{6}$
$\left(81a^{12} b^{24}\right)^{\frac{1}{4}}$

Main topic:

Power of a product

Time to solve it:

~ 0.02 s