Evaluate 1000^(2/3)

Problem

1000(2/3)

Solution

1. Rewrite the expression using the properties of rational exponents, where a(m/n)=(√(n,a))m

1000(2/3)=(√(3,1000))2

2. Evaluate the cube root of 1000 by identifying that 10×10×10=1000

√(3,1000)=10

3. Square the result to find the final value.

10=100

Final Answer

1000(2/3)=100

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