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Sauron [17]
4 years ago
15

Which expression is equivalent to

Mathematics
1 answer:
lutik1710 [3]4 years ago
8 0

Answer:

\frac{\sqrt[4]{3x^2} }{2y}

Step-by-step explanation:

We can simplify the expression under the root first.

Remember to use  \frac{a^x}{a^y}=a^{x-y}

Thus, we have:

\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}} \\=\sqrt[4]{\frac{3x^{2}}{16y^{4}}}

We know 4th root can be written as "to the power 1/4th". Then we can use the property  (ab)^{x}=a^x b^x

<em>So we have:</em>

<em>\sqrt[4]{\frac{3x^{2}}{16y^{4}}} \\=(\frac{3x^{2}}{16y^{4}})^{\frac{1}{4}}\\=\frac{3^{\frac{1}{4}}x^{\frac{1}{2}}}{2y}\\=\frac{\sqrt[4]{3x^2} }{2y}</em>

<em />

<em>Option D is right.</em>

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Jobisdone [24]

Answer:

  • 10m + 7n - 14

Step-by-step explanation:

<u>Given</u>

  • Q = 7m + 3n,
  • R = 11 - 2m,
  • S = n + 5,
  • T = -m - 3n + 8

<u>Simplify [Q - R] + [S - T]</u>

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5 0
3 years ago
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VikaD [51]

Answer:

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Hope that helps.

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Step-by-step explanation:

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Read 2 more answers
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ivann1987 [24]

Answer: 12

Step-by-step explanation:

<em>Although you have not included which value is the hypotenuse or if they are legs, I will assume the hypotenuse is 20, due to the triangle appearing to be a multiple of the standard 3-4-5 triangle.</em>

The pythagorean theorem is a^2+b^2=c^2, where a and b are the legs and c is the hypotenuse.  Thus, plug in the values to get:

16^2+b^2=20^2

256+b^2=400

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3 years ago
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