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Chapter 33: Problem 951

Simplify \([(1600 \times 10,000) /(2000)]^{1 / 3}\)

Short Answer

Expert verified
The simplified form of the expression \([(1600 \times 10,000) /(2000)]^{1 / 3}\) is \(20\).

Step by step solution

01

Multiply 1600 by 10,000

First, we need to multiply 1600 by 10,000: \(1600 \times 10,000 = 16,000,000\)
02

Divide the result by 2000

Now, we will divide the result from the first step (16,000,000) by 2000: \(\frac{16,000,000}{2000} = 8,000\)
03

Take the cube root

Finally, we will take the cube root of the result from the second step (8,000): \(\sqrt[3]{8,000} = 20\) So, the simplified form of the given expression is \(20\).

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