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Andreas93 [3]
2 years ago
7

Rewrite the radical expression with a rational exponent

Mathematics
2 answers:
goldenfox [79]2 years ago
5 0

Answer:

c

Step-by-step explanation:

i took the test

yuradex [85]2 years ago
3 0

Answer:

x^{\frac{7}{3} }

Step-by-step explanation:

The given expression is

\sqrt[3]{x^{7} }

There's a exponent which relates fractional exponents and roots, that is

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

So, if we apply this property, the results would be

\sqrt[3]{x^{7} }=x^{\frac{7}{3} }

Therefore, the right answer is the third choice x^{\frac{7}{3} }

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Answer:

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Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

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Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

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