Question

Simplify
(25)^-1/3 * 3√16

Answer 1

Given: The expression (25)^-1/3 x ∛16.

To find: Simplified answer of the above expression?

Solution:

• The expression given is (25)^-1/3 x ∛16.

• We can write it as:

         1 / (25)^1/3 x ∛2 x 2 x 2 x 2 .............(applying a^-m = 1/a^m)

         2 x ∛2 / (25)^1/3

• Now multiply and divide by ∛5 in numerator and denominator, we get:

         2 x ∛2 x ∛5  / (25)^1/3 x ∛5

         2 x ∛10 / ∛125

         (2 / 5 ) x ∛10

Answer:

        So the value of the given expression is: (2 / 5 ) x ∛10