Evaluate 625^(3/4)

Problem

625(3/4)

Solution

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

625(3/4)=(√(4,625))3

2. Find the fourth root of 625 by identifying which number multiplied by itself four times equals 625

5⋅5⋅5⋅5=625

√(4,625)=5

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

5=5⋅5⋅5

4. Calculate the final value.

5⋅5⋅5=125

Final Answer

625(3/4)=125

Want more problems? Check here!