Question

What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFraction EndRoot? Assume x ≠ 0.

StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction
StartFraction 6 Over 5 x squared EndFraction
Six-fifths x Superscript 10
Six-fifths x squared

Answer 1

The simplification form of the provided expression is 6/5x¹⁰ option first is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

$\rm = \sqrt{\dfrac{72x^{16}}{50x^{36}}}$

$\rm = \sqrt{\dfrac{72}{50}} \sqrt{\dfrac{x^{36}}{x^{16}}}$

$\rm = \sqrt{\dfrac{36\times2}{25\times2}} \sqrt{\dfrac{x^{36}}{x^{16}}}$

$\rm ={\dfrac{6x^{8}}{5x^{18}}}$

$\rm ={\dfrac{6}{5x^{10}}}$

Thus, the simplification form of the provided expression is 6/5x¹⁰ option first is correct.

Learn more about the expression here:

brainly.com/question/14083225

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