Question

What is the value of (16^3/2)^1/2?8642564096

Answer 1

8

1) Evaluating this power:

`(16^{(3)/(2)})^{(1)/(2)}`

2) Let's first multiply the exponents numerator by numerator, denominator, by denominator:

`16^{(3)/(4)}`

3) We can rewrite this as the same as the quartic root of 16 raised to 3rd power

`\sqrt[4]{16^3}`

This is equal to 8