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Step-by-step Solution

Solve the product power 3(-41*1*(m^11)/16*m^2)^(1/4)*((m^3)/81)^(1/4)

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Answer

$\sqrt[5]{43}m^{4}i$

Step-by-step explanation

Problem to solve:

$3\left(\left(-41\cdot1\right)\cdot\frac{m^{11}}{16} m^2\right)^{\frac{1}{4}}\left(\frac{m^3}{81}\right)^{\frac{1}{4}}$
1

Multiply $-41$ times $1$

$3\left(-41m^2\frac{m^{11}}{16}\right)^{\left(\frac{1}{4}\right)}\left(\frac{m^3}{81}\right)^{\left(\frac{1}{4}\right)}$
2

Divide $1$ by $4$

$3\sqrt[4]{-41m^2\frac{m^{11}}{16}}\sqrt[4]{\frac{m^3}{81}}$

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Answer

$\sqrt[5]{43}m^{4}i$
$3\left(\left(-41\cdot1\right)\cdot\frac{m^{11}}{16} m^2\right)^{\frac{1}{4}}\left(\frac{m^3}{81}\right)^{\frac{1}{4}}$

Main topic:

Exponent properties

Used formulas:

4. See formulas

Time to solve it:

~ 1.76 seconds