mineshart80 mineshart80
  • 10-01-2021
  • Mathematics
contestada

Express square root of 169^5 using rational exponents

Respuesta :

joaobezerra joaobezerra
  • 15-01-2021

Answer:

The square root is 371293.

Step-by-step explanation:

We solve this question using properties of exponents.

The square root of 169 is 13, so the exponent given can be written as:

[tex]169^{5} = (13^{2})^5 = 13^{10}[/tex]

The square root of [tex]13^{10}[/tex] is given by:

[tex]\sqrt{13^{10}} = 13^{\frac{10}{2}} = 13^5 = 371293[/tex]

The square root is 371293.

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