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Simplify  $\left(-4\sqrt[3]{29}\right)\cdot\left(-3\sqrt[3]{38}\right)$(−43√29)·(−33√38)​ .The simplified expression is

Question

Simplify  (4293)(3383)\left(-4\sqrt[3]{29}\right)\cdot\left(-3\sqrt[3]{38}\right)(−43√29)·(−33√38)​ .The simplified expression is

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Solution

To simplify the expression (4293)(3383)\left(-4\sqrt[3]{29}\right)\cdot\left(-3\sqrt[3]{38}\right), you need to follow these steps:

  1. Multiply the coefficients: 43=12-4 * -3 = 12.
  2. Multiply the radicands (the numbers under the cube root): 2938=110229 * 38 = 1102.
  3. Combine these into a new expression: 121102312\sqrt[3]{1102}.

So, (4293)(3383)=1211023\left(-4\sqrt[3]{29}\right)\cdot\left(-3\sqrt[3]{38}\right) = 12\sqrt[3]{1102}.

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limx→0lim𝑥→0x+29√−29√x

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