If the expression 2x^2y^-(1)/(4)sqrt [4](16x^2y^4) is written in the form ax^by^c then what is the product of a, b and c? square

Question

Answer 1

To simplify the expression

, we need to rewrite the expression in the form

.First, let's simplify the expression inside the fourth root:

We know that

,

, and

. So, we can rewrite the expression as:

Now, let's substitute this back into the original expression:

Next, we can combine the coefficients and the variables separately:

Simplifying the coefficients, we get:

Combining the exponents of

and

, we get:

Therefore, the expression

can be written in the form

, where

,

, and

.The product of

,

, and

is:

So, the product of

,

, and

is

.

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