Combine Radicals Fractional Exponents (L2) Question If the expression x^(1)/(2)y^-(3)/(2)sqrt [3](64x^3y^5) is written in the form ax^by^c then what is the product of a, 5 and c?

Question

Answer 1

To simplify the expression

, we need to rewrite it in the form

.First, let's rewrite the expression using fractional exponents:

Now, let's simplify the expression inside the parentheses:

Next, let's apply the exponent

to each term inside the parentheses:

Simplifying further, we get:

Now, let's multiply the terms outside the parentheses with the simplified expression:

Combining the exponents of

and

, we get:

Simplifying the exponents, we have:

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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