Respuesta :

Answer:

I THINK its the last one (8 root 10 to the power of 3x)

Step-by-step explanation:

A square root is the same thing as raising something to the 1/2. So the expression we have is (10^1/2)^3/4x.

Due to exponent rules we can multiply to get

10^3/8x which is the same thing as 10^3x/8

The 8 goes to the root and the 3x becomes the exponent

lhmarianateixeira

In this exercise we have to have knowledge about the properties of powers, so we have to:

Letter D

Recalling some properties of power, we find that:

  • Multiplication of powers with the same base.
  • Division of powers with the same base.
  • Power of potency.
  • Potency of a product.
  • Quotient power.

Are returning to the exercise and using the properties informed, we find that:

[tex](10^{1/2})^{3/4x}\\10^{3/8x} = 10^{3x/8}[/tex]

See more about power at brainly.com/question/1618040

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