# Step-by-step Solution

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## Step-by-step Solution

Problem to solve:

$\frac{5}{24}\cdot \left(41^{\frac{3}{2}}-5^3\right)$

Learn how to solve multiplication of numbers problems step by step online.

$\frac{5}{24}\left(41^{\frac{3}{2}}-1\cdot 5^3\right)$

Learn how to solve multiplication of numbers problems step by step online. Multiply 5/24(41^(3/2)-5^3). Divide 5 by 24. Calculate the power 5^3. Multiply -1 times 125. Divide 3 by 2.

$\frac{2550}{89}$$\,\,\left(\approx 28.651686194738915\right)$
$\frac{5}{24}\cdot \left(41^{\frac{3}{2}}-5^3\right)$