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Pie
2 years ago
15

Which of the following choices are equivalent to the expression below? check all that apply

Mathematics
1 answer:
Naddika [18.5K]2 years ago
3 0

The choices are equivalent to the expression correct choices are A, C, and D.

The given expression is

x^3 /5

<h3>What is the expression?</h3>

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.

<h3>What is the power rule?</h3>

a^{\frac{m}{n} =\sqrt[n]{a^m}

Therefore the above power rule implies that,

x^{(\frac{3}{5}) }=\sqrt[5]{x^3}

Also, we have the power rule

(a^m)}^n=a^{mn}

x^{\frac{3}5} =(x^3)^{\frac{1}{5}

or it can be written as

x^{\frac{3}{5} =(\sqrt[5]{x})^3

The correct choices are A, C, D.

To learn more about the expression visit:

brainly.com/question/723406

#SPJ1

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Answer:

  √145 ≈ 12.04

Step-by-step explanation:

The length of the space diagonal is the root of the sum of the squares of the prism edge lengths:

  d² = a² +b² +c² = 6² +3² +10² = 145

  d = √145 ≈ 12.04 . . . inches

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The face diagonal is found using the Pythagorean theorem in the usual way:

  f² = a² + b²

The space diagonal is the hypotenuse of the right triangle whose sides are the face diagonal and the remaining edge:

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Here is a diagram.

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