Question

Describe how to transform() into an expression with a rational exponent. Make sure you respond with complete sentences

Answer 1

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.