okayyyyyyash
okayyyyyyash okayyyyyyash
  • 25-06-2019
  • Mathematics
contestada

WILL GIVE YOU BRAINLIEST + 22 POINT QUESTION!

which expression is equivalent to sqrt 55 x^7 y^6 / 11 x^11 y^8?

assume x > 0 and y > 0

Respuesta :

BasketballEinstein
BasketballEinstein BasketballEinstein
  • 25-06-2019

Answer:

√55x\11x⁸y⁵

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer Link
cc0613 cc0613
  • 25-06-2019

Answer: C

Explanation:

√55x⁷y⁶/11x¹¹y⁸

→ 55/11 = 5

→ x⁷/x¹¹= x⁷⁻¹¹= x⁻⁴

→ y⁶/y⁸= y⁶⁻⁸= y⁻²

→ √5/x⁴y²

→ √5/x²y

If the exponent is a negative, the base is the reciprocal of itself with a positive exponent.

Ex: 6⁻² = 1/6² = 1/36

The square root of an exponent with a positive, even power is half of that power.

Ex: √x⁴ = x²

Answer Link

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