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.

Answer Link

Otras preguntas

Nov 13, 12:27:13 PM What is an equation of the line that passes through the points (5, -1) and (-5, 1)?
which sedimentary rock was formed during the oldest period of the mesozoic
HELP ME PLS THIS A UNIT TEST I WILL GIVE YOU 70 POINTS AND MAYBE BRAINLIEST 1. The function f(x) is graphed on the coordinate plane. What is f(−2)? Enter your a
Hi can someone please help me with this. I’m struggling on what to put in the blanks.
PLEASE HELP. How does the doctrine of uniformitarianism help us understand the history of earth
What is the inverse of this function? f(x) = -1/2 square root x+3 x> -3.
25 x 10 to the power of 6 in a standard form
What's the angle? (9 + 17)°
Solve for z. Assume the equation has a solution for z. a⋅(t+z)=45z+67
WILL GIVE BRAINLIEST ANSWER IN THE CORRECT FORM AND IN PRESENT TENSE