1 Answer

Glen Robson · Answer 1 · 2023-11-07T08:21:59+0000

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

$(\sqrt[3]{x^4})\placeholder{⬚}^5$

Step 02:

expression with a rational exponent:

1. First, we must transform the radical expression into an exponential expression.

$(\sqrt[3]{x^4})\placeholder{⬚}^5=(x^{(4)/(3)})\placeholder{⬚}^5$

2. Next, we must apply the properties of exponents to find an expression with a rational exponent.

$(x^{(4)/(3)})\placeholder{⬚}^5=x^{(4)/(3)*5}=x^{(20)/(3)}$

3. Finally, we obtain the expression with the radical exponent.

$x^{(20)/(3)}$

That is the full solution.

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