Evaluate 256^(3/4)

Problem

256(3/4)

Solution

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

256(3/4)=(√(4,256))3

2. Evaluate the fourth root of 256 by identifying that 4=256

√(4,256)=4

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

4=4⋅4⋅4

4. Calculate the final value.

4=64

Final Answer

256(3/4)=64

Want more problems? Check here!