Question

Simplify
(25)^-1/3 * 3√16

Answer 1

25^-1/3 means 1/25^1/3=1/25^1×25^1/2
=1/25×✓25= 1/25×5=1/125
=3×✓16=3×4=12
1/125×12
=12/125


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Answer 2

Answer:

Step-by-step explanation:

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