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.

10^2=100

Final Answer

1000^(2/3)=100

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