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Rudik [331]
3 years ago
13

The expression above can also be written in the form a=, b=,c=. 3 6/5

Mathematics
2 answers:
brilliants [131]3 years ago
7 0

Answer:

a = 3, b = 6, c = 5

Step-by-step explanation:

{3}^{ \frac{6}{5} }  =  \sqrt[5]{ {3}^{6} }  \\ equating \: it \: with \\  \sqrt[c]{ {a}^{b} }  \: we \: find :  \\ a = 3 \:  \: b = 6 \:  \: c = 5 \\

Viefleur [7K]3 years ago
3 0

Answer:

A is 3 b is 6 c is 5

Step-by-step explanation:

Look at the picture attached

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The <em>algebraic</em> expression x^{10/3} is equivalent to the <em>algebraic</em> expression x^{3}\cdot \sqrt[3]{x}. Thus, the right choice is option D.

<h3>How to apply power and root properties to rewrite a given expression</h3>

In this question we must apply the following set of <em>algebraic</em> properties to simplify a given expression:

x^{m/n} = \sqrt[n]{x^{m}} = \left(\sqrt[n]{x}\right)^{m}   (1)

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Where:

  • <em>m</em>, <em>n</em> - Exponents
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And also by apply the definition of power.

If we know that the given expression is x^{10/3}, then the equivalent expression is:

x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}

The <em>algebraic</em> expression x^{10/3} is equivalent to the <em>algebraic</em> expression x^{3}\cdot \sqrt[3]{x}. Thus, the right choice is option D.

To learn more on roots, we kindly invite to check this verified question: brainly.com/question/1527773

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