Evaluate 16^(5/2)

Problem

16(5/2)

Solution

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

16(5/2)=(√(,16))5

2. Evaluate the square root of the base.

√(,16)=4

3. Substitute the result back into the expression.

4

4. Calculate the final value by multiplying 4 by itself five times.

4×4×4×4×4=1024

Final Answer

16(5/2)=1024

Want more problems? Check here!