Evaluate 16^(3/4)

Problem

16(3/4)

Solution

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

16(3/4)=(√(4,16))3

2. Evaluate the fourth root of 16 by finding the number that, when multiplied by itself four times, equals 16.

√(4,16)=2

3. Substitute the result back into the expression and raise it to the power of 3.

2=2⋅2⋅2

4. Calculate the final value.

2=8

Final Answer

16(3/4)=8

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